What is the Least Common Multiple of 97415 and 97435?

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 97415 and 97435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97415 and 97435, than apply into the LCM equation.

GCF(97415,97435) = 5
LCM(97415,97435) = ( 97415 × 97435) / 5
LCM(97415,97435) = 9491630525 / 5
LCM(97415,97435) = 1898326105

Least Common Multiple (LCM) of 97415 and 97435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97415 and 97435. First we will calculate the prime factors of 97415 and 97435.

Prime Factorization of 97415

Prime Factorization of 97435

Now multiplying the highest exponent prime factors to calculate the LCM of 97415 and 97435.

LCM(97415,97435) = 5¹ × 19483¹ × 13¹ × 1499¹
LCM(97415,97435) = 1898326105