What is the Least Common Multiple of 98974 and 98980?

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 98980 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 98980, than apply into the LCM equation.

GCF(98974,98980) = 2
LCM(98974,98980) = ( 98974 × 98980) / 2
LCM(98974,98980) = 9796446520 / 2
LCM(98974,98980) = 4898223260

Least Common Multiple (LCM) of 98974 and 98980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98974 and 98980. First we will calculate the prime factors of 98974 and 98980.

Prime Factorization of 98974

Prime Factorization of 98980

Now multiplying the highest exponent prime factors to calculate the LCM of 98974 and 98980.

LCM(98974,98980) = 2² × 17¹ × 41¹ × 71¹ × 5¹ × 7² × 101¹
LCM(98974,98980) = 4898223260