What is the Least Common Multiple of 60608 and 60627?

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 60608 and 60627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60608 and 60627, than apply into the LCM equation.

GCF(60608,60627) = 1
LCM(60608,60627) = ( 60608 × 60627) / 1
LCM(60608,60627) = 3674481216 / 1
LCM(60608,60627) = 3674481216

Least Common Multiple (LCM) of 60608 and 60627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60608 and 60627. First we will calculate the prime factors of 60608 and 60627.

Prime Factorization of 60608

Prime Factorization of 60627

Now multiplying the highest exponent prime factors to calculate the LCM of 60608 and 60627.

LCM(60608,60627) = 2⁶ × 947¹ × 3¹ × 7¹ × 2887¹
LCM(60608,60627) = 3674481216