What is the Least Common Multiple of 97240 and 97252?

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 97240 and 97252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97240 and 97252, than apply into the LCM equation.

GCF(97240,97252) = 4
LCM(97240,97252) = ( 97240 × 97252) / 4
LCM(97240,97252) = 9456784480 / 4
LCM(97240,97252) = 2364196120

Least Common Multiple (LCM) of 97240 and 97252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97240 and 97252. First we will calculate the prime factors of 97240 and 97252.

Prime Factorization of 97240

Prime Factorization of 97252

Now multiplying the highest exponent prime factors to calculate the LCM of 97240 and 97252.

LCM(97240,97252) = 2³ × 5¹ × 11¹ × 13¹ × 17¹ × 41¹ × 593¹
LCM(97240,97252) = 2364196120