What is the Least Common Multiple of 60150 and 60154?

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 60150 and 60154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60150 and 60154, than apply into the LCM equation.

GCF(60150,60154) = 2
LCM(60150,60154) = ( 60150 × 60154) / 2
LCM(60150,60154) = 3618263100 / 2
LCM(60150,60154) = 1809131550

Least Common Multiple (LCM) of 60150 and 60154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60150 and 60154. First we will calculate the prime factors of 60150 and 60154.

Prime Factorization of 60150

Prime Factorization of 60154

Now multiplying the highest exponent prime factors to calculate the LCM of 60150 and 60154.

LCM(60150,60154) = 2¹ × 3¹ × 5² × 401¹ × 19¹ × 1583¹
LCM(60150,60154) = 1809131550