What is the Least Common Multiple of 65700 and 65712?

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 65700 and 65712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65700 and 65712, than apply into the LCM equation.

GCF(65700,65712) = 12
LCM(65700,65712) = ( 65700 × 65712) / 12
LCM(65700,65712) = 4317278400 / 12
LCM(65700,65712) = 359773200

Least Common Multiple (LCM) of 65700 and 65712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65700 and 65712. First we will calculate the prime factors of 65700 and 65712.

Prime Factorization of 65700

Prime Factorization of 65712

Now multiplying the highest exponent prime factors to calculate the LCM of 65700 and 65712.

LCM(65700,65712) = 2⁴ × 3² × 5² × 73¹ × 37²
LCM(65700,65712) = 359773200