What is the Least Common Multiple of 60231 and 60237?

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 60231 and 60237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60231 and 60237, than apply into the LCM equation.

GCF(60231,60237) = 3
LCM(60231,60237) = ( 60231 × 60237) / 3
LCM(60231,60237) = 3628134747 / 3
LCM(60231,60237) = 1209378249

Least Common Multiple (LCM) of 60231 and 60237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60231 and 60237. First we will calculate the prime factors of 60231 and 60237.

Prime Factorization of 60231

Prime Factorization of 60237

Now multiplying the highest exponent prime factors to calculate the LCM of 60231 and 60237.

LCM(60231,60237) = 3³ × 17¹ × 1181¹ × 23¹ × 97¹
LCM(60231,60237) = 1209378249