What is the Least Common Multiple of 42435 and 42451?

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 42435 and 42451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42435 and 42451, than apply into the LCM equation.

GCF(42435,42451) = 1
LCM(42435,42451) = ( 42435 × 42451) / 1
LCM(42435,42451) = 1801408185 / 1
LCM(42435,42451) = 1801408185

Least Common Multiple (LCM) of 42435 and 42451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42435 and 42451. First we will calculate the prime factors of 42435 and 42451.

Prime Factorization of 42435

Prime Factorization of 42451

Now multiplying the highest exponent prime factors to calculate the LCM of 42435 and 42451.

LCM(42435,42451) = 3² × 5¹ × 23¹ × 41¹ × 42451¹
LCM(42435,42451) = 1801408185