What is the Least Common Multiple of 42712 and 42731?

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 42712 and 42731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42712 and 42731, than apply into the LCM equation.

GCF(42712,42731) = 19
LCM(42712,42731) = ( 42712 × 42731) / 19
LCM(42712,42731) = 1825126472 / 19
LCM(42712,42731) = 96059288

Least Common Multiple (LCM) of 42712 and 42731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42712 and 42731. First we will calculate the prime factors of 42712 and 42731.

Prime Factorization of 42712

Prime Factorization of 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 42712 and 42731.

LCM(42712,42731) = 2³ × 19¹ × 281¹ × 13¹ × 173¹
LCM(42712,42731) = 96059288