What is the Least Common Multiple of 42478 and 42486?

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 42486 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 42486, than apply into the LCM equation.

GCF(42478,42486) = 2
LCM(42478,42486) = ( 42478 × 42486) / 2
LCM(42478,42486) = 1804720308 / 2
LCM(42478,42486) = 902360154

Least Common Multiple (LCM) of 42478 and 42486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42478 and 42486. First we will calculate the prime factors of 42478 and 42486.

Prime Factorization of 42478

Prime Factorization of 42486

Now multiplying the highest exponent prime factors to calculate the LCM of 42478 and 42486.

LCM(42478,42486) = 2¹ × 67¹ × 317¹ × 3¹ × 73¹ × 97¹
LCM(42478,42486) = 902360154