What is the Least Common Multiple of 60489 and 60503?

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 60489 and 60503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60489 and 60503, than apply into the LCM equation.

GCF(60489,60503) = 1
LCM(60489,60503) = ( 60489 × 60503) / 1
LCM(60489,60503) = 3659765967 / 1
LCM(60489,60503) = 3659765967

Least Common Multiple (LCM) of 60489 and 60503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60489 and 60503. First we will calculate the prime factors of 60489 and 60503.

Prime Factorization of 60489

Prime Factorization of 60503

Now multiplying the highest exponent prime factors to calculate the LCM of 60489 and 60503.

LCM(60489,60503) = 3² × 11¹ × 13¹ × 47¹ × 17¹ × 3559¹
LCM(60489,60503) = 3659765967