What is the Least Common Multiple of 54616 and 54620?
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 54616 and 54620 is 745781480.
LCM(54616,54620) = 745781480
Least Common Multiple of 54616 and 54620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54616 and 54620, than apply into the LCM equation.
GCF(54616,54620) = 4
LCM(54616,54620) = ( 54616 × 54620) / 4
LCM(54616,54620) = 2983125920 / 4
LCM(54616,54620) = 745781480
Least Common Multiple (LCM) of 54616 and 54620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54616 and 54620. First we will calculate the prime factors of 54616 and 54620.
Prime Factorization of 54616
Prime factors of 54616 are 2, 6827. Prime factorization of 54616 in exponential form is:
54616 = 23 × 68271
Prime Factorization of 54620
Prime factors of 54620 are 2, 5, 2731. Prime factorization of 54620 in exponential form is:
54620 = 22 × 51 × 27311
Now multiplying the highest exponent prime factors to calculate the LCM of 54616 and 54620.
LCM(54616,54620) = 23 × 68271 × 51 × 27311
LCM(54616,54620) = 745781480
Related Least Common Multiples of 54616
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Related Least Common Multiples of 54620
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- LCM of 54620 and 54630
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