What is the Least Common Multiple of 98950 and 98962?

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 98950 and 98962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98950 and 98962, than apply into the LCM equation.

GCF(98950,98962) = 2
LCM(98950,98962) = ( 98950 × 98962) / 2
LCM(98950,98962) = 9792289900 / 2
LCM(98950,98962) = 4896144950

Least Common Multiple (LCM) of 98950 and 98962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98950 and 98962. First we will calculate the prime factors of 98950 and 98962.

Prime Factorization of 98950

Prime Factorization of 98962

Now multiplying the highest exponent prime factors to calculate the LCM of 98950 and 98962.

LCM(98950,98962) = 2¹ × 5² × 1979¹ × 49481¹
LCM(98950,98962) = 4896144950