What is the Least Common Multiple of 67752 and 67771?
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 67752 and 67771 is 4591620792.
LCM(67752,67771) = 4591620792
Least Common Multiple of 67752 and 67771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67752 and 67771, than apply into the LCM equation.
GCF(67752,67771) = 1
LCM(67752,67771) = ( 67752 × 67771) / 1
LCM(67752,67771) = 4591620792 / 1
LCM(67752,67771) = 4591620792
Least Common Multiple (LCM) of 67752 and 67771 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67752 and 67771. First we will calculate the prime factors of 67752 and 67771.
Prime Factorization of 67752
Prime factors of 67752 are 2, 3, 941. Prime factorization of 67752 in exponential form is:
67752 = 23 × 32 × 9411
Prime Factorization of 67771
Prime factors of 67771 are 11, 61, 101. Prime factorization of 67771 in exponential form is:
67771 = 111 × 611 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 67752 and 67771.
LCM(67752,67771) = 23 × 32 × 9411 × 111 × 611 × 1011
LCM(67752,67771) = 4591620792
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