What is the Least Common Multiple of 64722 and 64728?
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 64722 and 64728 is 698220936.
LCM(64722,64728) = 698220936
Least Common Multiple of 64722 and 64728 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64722 and 64728, than apply into the LCM equation.
GCF(64722,64728) = 6
LCM(64722,64728) = ( 64722 × 64728) / 6
LCM(64722,64728) = 4189325616 / 6
LCM(64722,64728) = 698220936
Least Common Multiple (LCM) of 64722 and 64728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64722 and 64728. First we will calculate the prime factors of 64722 and 64728.
Prime Factorization of 64722
Prime factors of 64722 are 2, 3, 7, 23, 67. Prime factorization of 64722 in exponential form is:
64722 = 21 × 31 × 71 × 231 × 671
Prime Factorization of 64728
Prime factors of 64728 are 2, 3, 29, 31. Prime factorization of 64728 in exponential form is:
64728 = 23 × 32 × 291 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 64722 and 64728.
LCM(64722,64728) = 23 × 32 × 71 × 231 × 671 × 291 × 311
LCM(64722,64728) = 698220936
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