What is the Least Common Multiple of 60518 and 60537?

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 60518 and 60537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60518 and 60537, than apply into the LCM equation.

GCF(60518,60537) = 1
LCM(60518,60537) = ( 60518 × 60537) / 1
LCM(60518,60537) = 3663578166 / 1
LCM(60518,60537) = 3663578166

Least Common Multiple (LCM) of 60518 and 60537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60518 and 60537. First we will calculate the prime factors of 60518 and 60537.

Prime Factorization of 60518

Prime Factorization of 60537

Now multiplying the highest exponent prime factors to calculate the LCM of 60518 and 60537.

LCM(60518,60537) = 2¹ × 30259¹ × 3¹ × 17¹ × 1187¹
LCM(60518,60537) = 3663578166