What is the Least Common Multiple of 42756 and 42765?

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 42756 and 42765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42756 and 42765, than apply into the LCM equation.

GCF(42756,42765) = 3
LCM(42756,42765) = ( 42756 × 42765) / 3
LCM(42756,42765) = 1828460340 / 3
LCM(42756,42765) = 609486780

Least Common Multiple (LCM) of 42756 and 42765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42756 and 42765. First we will calculate the prime factors of 42756 and 42765.

Prime Factorization of 42756

Prime Factorization of 42765

Now multiplying the highest exponent prime factors to calculate the LCM of 42756 and 42765.

LCM(42756,42765) = 2² × 3¹ × 7¹ × 509¹ × 5¹ × 2851¹
LCM(42756,42765) = 609486780