What is the Least Common Multiple of 75078 and 75090?

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 75078 and 75090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75078 and 75090, than apply into the LCM equation.

GCF(75078,75090) = 6
LCM(75078,75090) = ( 75078 × 75090) / 6
LCM(75078,75090) = 5637607020 / 6
LCM(75078,75090) = 939601170

Least Common Multiple (LCM) of 75078 and 75090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75078 and 75090. First we will calculate the prime factors of 75078 and 75090.

Prime Factorization of 75078

Prime Factorization of 75090

Now multiplying the highest exponent prime factors to calculate the LCM of 75078 and 75090.

LCM(75078,75090) = 2¹ × 3² × 43¹ × 97¹ × 5¹ × 2503¹
LCM(75078,75090) = 939601170