What is the Least Common Multiple of 98974 and 98994?

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 98974 and 98994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98974 and 98994, than apply into the LCM equation.

GCF(98974,98994) = 2
LCM(98974,98994) = ( 98974 × 98994) / 2
LCM(98974,98994) = 9797832156 / 2
LCM(98974,98994) = 4898916078

Least Common Multiple (LCM) of 98974 and 98994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98974 and 98994. First we will calculate the prime factors of 98974 and 98994.

Prime Factorization of 98974

Prime Factorization of 98994

Now multiplying the highest exponent prime factors to calculate the LCM of 98974 and 98994.

LCM(98974,98994) = 2¹ × 17¹ × 41¹ × 71¹ × 3¹ × 7¹ × 2357¹
LCM(98974,98994) = 4898916078