What is the Least Common Multiple of 42700 and 42708?

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 42700 and 42708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42700 and 42708, than apply into the LCM equation.

GCF(42700,42708) = 4
LCM(42700,42708) = ( 42700 × 42708) / 4
LCM(42700,42708) = 1823631600 / 4
LCM(42700,42708) = 455907900

Least Common Multiple (LCM) of 42700 and 42708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42700 and 42708. First we will calculate the prime factors of 42700 and 42708.

Prime Factorization of 42700

Prime Factorization of 42708

Now multiplying the highest exponent prime factors to calculate the LCM of 42700 and 42708.

LCM(42700,42708) = 2² × 5² × 7¹ × 61¹ × 3¹ × 3559¹
LCM(42700,42708) = 455907900