What is the Least Common Multiple of 64700 and 64714?

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 64700 and 64714 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 64714, than apply into the LCM equation.

GCF(64700,64714) = 2
LCM(64700,64714) = ( 64700 × 64714) / 2
LCM(64700,64714) = 4186995800 / 2
LCM(64700,64714) = 2093497900

Least Common Multiple (LCM) of 64700 and 64714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64700 and 64714. First we will calculate the prime factors of 64700 and 64714.

Prime Factorization of 64700

Prime Factorization of 64714

Now multiplying the highest exponent prime factors to calculate the LCM of 64700 and 64714.

LCM(64700,64714) = 2² × 5² × 647¹ × 13¹ × 19¹ × 131¹
LCM(64700,64714) = 2093497900