What is the Least Common Multiple of 68100 and 68115?

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 68100 and 68115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68100 and 68115, than apply into the LCM equation.

GCF(68100,68115) = 15
LCM(68100,68115) = ( 68100 × 68115) / 15
LCM(68100,68115) = 4638631500 / 15
LCM(68100,68115) = 309242100

Least Common Multiple (LCM) of 68100 and 68115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68100 and 68115. First we will calculate the prime factors of 68100 and 68115.

Prime Factorization of 68100

Prime Factorization of 68115

Now multiplying the highest exponent prime factors to calculate the LCM of 68100 and 68115.

LCM(68100,68115) = 2² × 3¹ × 5² × 227¹ × 19¹ × 239¹
LCM(68100,68115) = 309242100