What is the Least Common Multiple of 98520 and 98535?

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 98520 and 98535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98520 and 98535, than apply into the LCM equation.

GCF(98520,98535) = 15
LCM(98520,98535) = ( 98520 × 98535) / 15
LCM(98520,98535) = 9707668200 / 15
LCM(98520,98535) = 647177880

Least Common Multiple (LCM) of 98520 and 98535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98520 and 98535. First we will calculate the prime factors of 98520 and 98535.

Prime Factorization of 98520

Prime Factorization of 98535

Now multiplying the highest exponent prime factors to calculate the LCM of 98520 and 98535.

LCM(98520,98535) = 2³ × 3¹ × 5¹ × 821¹ × 6569¹
LCM(98520,98535) = 647177880