What is the Least Common Multiple of 97038 and 97054?

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 97038 and 97054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97038 and 97054, than apply into the LCM equation.

GCF(97038,97054) = 2
LCM(97038,97054) = ( 97038 × 97054) / 2
LCM(97038,97054) = 9417926052 / 2
LCM(97038,97054) = 4708963026

Least Common Multiple (LCM) of 97038 and 97054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97038 and 97054. First we will calculate the prime factors of 97038 and 97054.

Prime Factorization of 97038

Prime Factorization of 97054

Now multiplying the highest exponent prime factors to calculate the LCM of 97038 and 97054.

LCM(97038,97054) = 2¹ × 3⁴ × 599¹ × 48527¹
LCM(97038,97054) = 4708963026