What is the Least Common Multiple of 59055 and 59074?

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 59055 and 59074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59055 and 59074, than apply into the LCM equation.

GCF(59055,59074) = 1
LCM(59055,59074) = ( 59055 × 59074) / 1
LCM(59055,59074) = 3488615070 / 1
LCM(59055,59074) = 3488615070

Least Common Multiple (LCM) of 59055 and 59074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59055 and 59074. First we will calculate the prime factors of 59055 and 59074.

Prime Factorization of 59055

Prime Factorization of 59074

Now multiplying the highest exponent prime factors to calculate the LCM of 59055 and 59074.

LCM(59055,59074) = 3¹ × 5¹ × 31¹ × 127¹ × 2¹ × 29537¹
LCM(59055,59074) = 3488615070