What is the Least Common Multiple of 60909 and 60918?

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 60909 and 60918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60909 and 60918, than apply into the LCM equation.

GCF(60909,60918) = 3
LCM(60909,60918) = ( 60909 × 60918) / 3
LCM(60909,60918) = 3710454462 / 3
LCM(60909,60918) = 1236818154

Least Common Multiple (LCM) of 60909 and 60918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60909 and 60918. First we will calculate the prime factors of 60909 and 60918.

Prime Factorization of 60909

Prime Factorization of 60918

Now multiplying the highest exponent prime factors to calculate the LCM of 60909 and 60918.

LCM(60909,60918) = 3¹ × 79¹ × 257¹ × 2¹ × 11¹ × 13¹ × 71¹
LCM(60909,60918) = 1236818154