What is the Least Common Multiple of 93060 and 93078?

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 93060 and 93078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93060 and 93078, than apply into the LCM equation.

GCF(93060,93078) = 18
LCM(93060,93078) = ( 93060 × 93078) / 18
LCM(93060,93078) = 8661838680 / 18
LCM(93060,93078) = 481213260

Least Common Multiple (LCM) of 93060 and 93078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93060 and 93078. First we will calculate the prime factors of 93060 and 93078.

Prime Factorization of 93060

Prime Factorization of 93078

Now multiplying the highest exponent prime factors to calculate the LCM of 93060 and 93078.

LCM(93060,93078) = 2² × 3² × 5¹ × 11¹ × 47¹ × 5171¹
LCM(93060,93078) = 481213260