What is the Least Common Multiple of 97471 and 97486?

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 97471 and 97486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97471 and 97486, than apply into the LCM equation.

GCF(97471,97486) = 1
LCM(97471,97486) = ( 97471 × 97486) / 1
LCM(97471,97486) = 9502057906 / 1
LCM(97471,97486) = 9502057906

Least Common Multiple (LCM) of 97471 and 97486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97471 and 97486. First we will calculate the prime factors of 97471 and 97486.

Prime Factorization of 97471

Prime Factorization of 97486

Now multiplying the highest exponent prime factors to calculate the LCM of 97471 and 97486.

LCM(97471,97486) = 11¹ × 8861¹ × 2¹ × 79¹ × 617¹
LCM(97471,97486) = 9502057906