What is the Least Common Multiple of 33612 and 33620?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 33612 and 33620 is 282508860.
LCM(33612,33620) = 282508860
Least Common Multiple of 33612 and 33620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33612 and 33620, than apply into the LCM equation.
GCF(33612,33620) = 4
LCM(33612,33620) = ( 33612 × 33620) / 4
LCM(33612,33620) = 1130035440 / 4
LCM(33612,33620) = 282508860
Least Common Multiple (LCM) of 33612 and 33620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33612 and 33620. First we will calculate the prime factors of 33612 and 33620.
Prime Factorization of 33612
Prime factors of 33612 are 2, 3, 2801. Prime factorization of 33612 in exponential form is:
33612 = 22 × 31 × 28011
Prime Factorization of 33620
Prime factors of 33620 are 2, 5, 41. Prime factorization of 33620 in exponential form is:
33620 = 22 × 51 × 412
Now multiplying the highest exponent prime factors to calculate the LCM of 33612 and 33620.
LCM(33612,33620) = 22 × 31 × 28011 × 51 × 412
LCM(33612,33620) = 282508860
Related Least Common Multiples of 33612
- LCM of 33612 and 33616
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- LCM of 33612 and 33623
- LCM of 33612 and 33624
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Related Least Common Multiples of 33620
- LCM of 33620 and 33624
- LCM of 33620 and 33625
- LCM of 33620 and 33626
- LCM of 33620 and 33627
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- LCM of 33620 and 33630
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