What is the Least Common Multiple of 42712 and 42732?

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 42732 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 42732, than apply into the LCM equation.

GCF(42712,42732) = 4
LCM(42712,42732) = ( 42712 × 42732) / 4
LCM(42712,42732) = 1825169184 / 4
LCM(42712,42732) = 456292296

Least Common Multiple (LCM) of 42712 and 42732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42712 and 42732. First we will calculate the prime factors of 42712 and 42732.

Prime Factorization of 42712

Prime Factorization of 42732

Now multiplying the highest exponent prime factors to calculate the LCM of 42712 and 42732.

LCM(42712,42732) = 2³ × 19¹ × 281¹ × 3² × 1187¹
LCM(42712,42732) = 456292296