What is the Least Common Multiple of 42072 and 42077?

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 42072 and 42077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42072 and 42077, than apply into the LCM equation.

GCF(42072,42077) = 1
LCM(42072,42077) = ( 42072 × 42077) / 1
LCM(42072,42077) = 1770263544 / 1
LCM(42072,42077) = 1770263544

Least Common Multiple (LCM) of 42072 and 42077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42072 and 42077. First we will calculate the prime factors of 42072 and 42077.

Prime Factorization of 42072

Prime Factorization of 42077

Now multiplying the highest exponent prime factors to calculate the LCM of 42072 and 42077.

LCM(42072,42077) = 2³ × 3¹ × 1753¹ × 7¹ × 6011¹
LCM(42072,42077) = 1770263544