What is the Least Common Multiple of 64700 and 64704?
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 64700 and 64704 is 1046587200.
LCM(64700,64704) = 1046587200
Least Common Multiple of 64700 and 64704 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64700 and 64704, than apply into the LCM equation.
GCF(64700,64704) = 4
LCM(64700,64704) = ( 64700 × 64704) / 4
LCM(64700,64704) = 4186348800 / 4
LCM(64700,64704) = 1046587200
Least Common Multiple (LCM) of 64700 and 64704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64700 and 64704. First we will calculate the prime factors of 64700 and 64704.
Prime Factorization of 64700
Prime factors of 64700 are 2, 5, 647. Prime factorization of 64700 in exponential form is:
64700 = 22 × 52 × 6471
Prime Factorization of 64704
Prime factors of 64704 are 2, 3, 337. Prime factorization of 64704 in exponential form is:
64704 = 26 × 31 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 64700 and 64704.
LCM(64700,64704) = 26 × 52 × 6471 × 31 × 3371
LCM(64700,64704) = 1046587200
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