What is the Least Common Multiple of 42210 and 42225?

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 42210 and 42225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42210 and 42225, than apply into the LCM equation.

GCF(42210,42225) = 15
LCM(42210,42225) = ( 42210 × 42225) / 15
LCM(42210,42225) = 1782317250 / 15
LCM(42210,42225) = 118821150

Least Common Multiple (LCM) of 42210 and 42225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42210 and 42225. First we will calculate the prime factors of 42210 and 42225.

Prime Factorization of 42210

Prime Factorization of 42225

Now multiplying the highest exponent prime factors to calculate the LCM of 42210 and 42225.

LCM(42210,42225) = 2¹ × 3² × 5² × 7¹ × 67¹ × 563¹
LCM(42210,42225) = 118821150