What is the Least Common Multiple of 60105 and 60117?

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 60105 and 60117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60105 and 60117, than apply into the LCM equation.

GCF(60105,60117) = 3
LCM(60105,60117) = ( 60105 × 60117) / 3
LCM(60105,60117) = 3613332285 / 3
LCM(60105,60117) = 1204444095

Least Common Multiple (LCM) of 60105 and 60117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60105 and 60117. First we will calculate the prime factors of 60105 and 60117.

Prime Factorization of 60105

Prime Factorization of 60117

Now multiplying the highest exponent prime factors to calculate the LCM of 60105 and 60117.

LCM(60105,60117) = 3¹ × 5¹ × 4007¹ × 29¹ × 691¹
LCM(60105,60117) = 1204444095