What is the Least Common Multiple of 99520 and 99540?

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 99520 and 99540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99520 and 99540, than apply into the LCM equation.

GCF(99520,99540) = 20
LCM(99520,99540) = ( 99520 × 99540) / 20
LCM(99520,99540) = 9906220800 / 20
LCM(99520,99540) = 495311040

Least Common Multiple (LCM) of 99520 and 99540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99520 and 99540. First we will calculate the prime factors of 99520 and 99540.

Prime Factorization of 99520

Prime Factorization of 99540

Now multiplying the highest exponent prime factors to calculate the LCM of 99520 and 99540.

LCM(99520,99540) = 2⁶ × 5¹ × 311¹ × 3² × 7¹ × 79¹
LCM(99520,99540) = 495311040