What is the Least Common Multiple of 97538 and 97550?

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 97538 and 97550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97538 and 97550, than apply into the LCM equation.

GCF(97538,97550) = 2
LCM(97538,97550) = ( 97538 × 97550) / 2
LCM(97538,97550) = 9514831900 / 2
LCM(97538,97550) = 4757415950

Least Common Multiple (LCM) of 97538 and 97550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97538 and 97550. First we will calculate the prime factors of 97538 and 97550.

Prime Factorization of 97538

Prime Factorization of 97550

Now multiplying the highest exponent prime factors to calculate the LCM of 97538 and 97550.

LCM(97538,97550) = 2¹ × 7¹ × 6967¹ × 5² × 1951¹
LCM(97538,97550) = 4757415950