What is the Least Common Multiple of 97085 and 97090?

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 97085 and 97090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97085 and 97090, than apply into the LCM equation.

GCF(97085,97090) = 5
LCM(97085,97090) = ( 97085 × 97090) / 5
LCM(97085,97090) = 9425982650 / 5
LCM(97085,97090) = 1885196530

Least Common Multiple (LCM) of 97085 and 97090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97085 and 97090. First we will calculate the prime factors of 97085 and 97090.

Prime Factorization of 97085

Prime Factorization of 97090

Now multiplying the highest exponent prime factors to calculate the LCM of 97085 and 97090.

LCM(97085,97090) = 5¹ × 19417¹ × 2¹ × 7¹ × 19¹ × 73¹
LCM(97085,97090) = 1885196530