What is the Least Common Multiple of 75078 and 75097?

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 75097 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 75097, than apply into the LCM equation.

GCF(75078,75097) = 1
LCM(75078,75097) = ( 75078 × 75097) / 1
LCM(75078,75097) = 5638132566 / 1
LCM(75078,75097) = 5638132566

Least Common Multiple (LCM) of 75078 and 75097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75078 and 75097. First we will calculate the prime factors of 75078 and 75097.

Prime Factorization of 75078

Prime Factorization of 75097

Now multiplying the highest exponent prime factors to calculate the LCM of 75078 and 75097.

LCM(75078,75097) = 2¹ × 3² × 43¹ × 97¹ × 11¹ × 6827¹
LCM(75078,75097) = 5638132566