What is the Least Common Multiple of 90699 and 90719?

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 90699 and 90719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90699 and 90719, than apply into the LCM equation.

GCF(90699,90719) = 1
LCM(90699,90719) = ( 90699 × 90719) / 1
LCM(90699,90719) = 8228122581 / 1
LCM(90699,90719) = 8228122581

Least Common Multiple (LCM) of 90699 and 90719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90699 and 90719. First we will calculate the prime factors of 90699 and 90719.

Prime Factorization of 90699

Prime Factorization of 90719

Now multiplying the highest exponent prime factors to calculate the LCM of 90699 and 90719.

LCM(90699,90719) = 3¹ × 7² × 617¹ × 83¹ × 1093¹
LCM(90699,90719) = 8228122581