What is the Least Common Multiple of 42112 and 42124?

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 42112 and 42124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42112 and 42124, than apply into the LCM equation.

GCF(42112,42124) = 4
LCM(42112,42124) = ( 42112 × 42124) / 4
LCM(42112,42124) = 1773925888 / 4
LCM(42112,42124) = 443481472

Least Common Multiple (LCM) of 42112 and 42124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42112 and 42124. First we will calculate the prime factors of 42112 and 42124.

Prime Factorization of 42112

Prime Factorization of 42124

Now multiplying the highest exponent prime factors to calculate the LCM of 42112 and 42124.

LCM(42112,42124) = 2⁷ × 7¹ × 47¹ × 10531¹
LCM(42112,42124) = 443481472