What is the Least Common Multiple of 98950 and 98965?

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 98965 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 98965, than apply into the LCM equation.

GCF(98950,98965) = 5
LCM(98950,98965) = ( 98950 × 98965) / 5
LCM(98950,98965) = 9792586750 / 5
LCM(98950,98965) = 1958517350

Least Common Multiple (LCM) of 98950 and 98965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98950 and 98965. First we will calculate the prime factors of 98950 and 98965.

Prime Factorization of 98950

Prime Factorization of 98965

Now multiplying the highest exponent prime factors to calculate the LCM of 98950 and 98965.

LCM(98950,98965) = 2¹ × 5² × 1979¹ × 19793¹
LCM(98950,98965) = 1958517350