What is the Least Common Multiple of 90710 and 90725?

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 90710 and 90725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90710 and 90725, than apply into the LCM equation.

GCF(90710,90725) = 5
LCM(90710,90725) = ( 90710 × 90725) / 5
LCM(90710,90725) = 8229664750 / 5
LCM(90710,90725) = 1645932950

Least Common Multiple (LCM) of 90710 and 90725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90710 and 90725. First we will calculate the prime factors of 90710 and 90725.

Prime Factorization of 90710

Prime Factorization of 90725

Now multiplying the highest exponent prime factors to calculate the LCM of 90710 and 90725.

LCM(90710,90725) = 2¹ × 5² × 47¹ × 193¹ × 19¹ × 191¹
LCM(90710,90725) = 1645932950