What is the Least Common Multiple of 99690 and 99703?

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 99690 and 99703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99690 and 99703, than apply into the LCM equation.

GCF(99690,99703) = 1
LCM(99690,99703) = ( 99690 × 99703) / 1
LCM(99690,99703) = 9939392070 / 1
LCM(99690,99703) = 9939392070

Least Common Multiple (LCM) of 99690 and 99703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99690 and 99703. First we will calculate the prime factors of 99690 and 99703.

Prime Factorization of 99690

Prime Factorization of 99703

Now multiplying the highest exponent prime factors to calculate the LCM of 99690 and 99703.

LCM(99690,99703) = 2¹ × 3¹ × 5¹ × 3323¹ × 179¹ × 557¹
LCM(99690,99703) = 9939392070