What is the Least Common Multiple of 42478 and 42492?

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 42478 and 42492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42478 and 42492, than apply into the LCM equation.

GCF(42478,42492) = 2
LCM(42478,42492) = ( 42478 × 42492) / 2
LCM(42478,42492) = 1804975176 / 2
LCM(42478,42492) = 902487588

Least Common Multiple (LCM) of 42478 and 42492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42478 and 42492. First we will calculate the prime factors of 42478 and 42492.

Prime Factorization of 42478

Prime Factorization of 42492

Now multiplying the highest exponent prime factors to calculate the LCM of 42478 and 42492.

LCM(42478,42492) = 2² × 67¹ × 317¹ × 3¹ × 3541¹
LCM(42478,42492) = 902487588