What is the Least Common Multiple of 64708 and 64726?

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 of 64708 and 64726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64708 and 64726, than apply into the LCM equation.

GCF(64708,64726) = 2
LCM(64708,64726) = ( 64708 × 64726) / 2
LCM(64708,64726) = 4188290008 / 2
LCM(64708,64726) = 2094145004

Least Common Multiple (LCM) of 64708 and 64726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64708 and 64726. First we will calculate the prime factors of 64708 and 64726.

Prime Factorization of 64708

Prime Factorization of 64726

Now multiplying the highest exponent prime factors to calculate the LCM of 64708 and 64726.

LCM(64708,64726) = 2² × 7¹ × 2311¹ × 32363¹
LCM(64708,64726) = 2094145004