What is the Least Common Multiple of 59208 and 59228?

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 59208 and 59228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59208 and 59228, than apply into the LCM equation.

GCF(59208,59228) = 4
LCM(59208,59228) = ( 59208 × 59228) / 4
LCM(59208,59228) = 3506771424 / 4
LCM(59208,59228) = 876692856

Least Common Multiple (LCM) of 59208 and 59228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59208 and 59228. First we will calculate the prime factors of 59208 and 59228.

Prime Factorization of 59208

Prime Factorization of 59228

Now multiplying the highest exponent prime factors to calculate the LCM of 59208 and 59228.

LCM(59208,59228) = 2³ × 3¹ × 2467¹ × 13¹ × 17¹ × 67¹
LCM(59208,59228) = 876692856