What is the Least Common Multiple of 98240 and 98252?

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 98240 and 98252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98240 and 98252, than apply into the LCM equation.

GCF(98240,98252) = 4
LCM(98240,98252) = ( 98240 × 98252) / 4
LCM(98240,98252) = 9652276480 / 4
LCM(98240,98252) = 2413069120

Least Common Multiple (LCM) of 98240 and 98252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98240 and 98252. First we will calculate the prime factors of 98240 and 98252.

Prime Factorization of 98240

Prime Factorization of 98252

Now multiplying the highest exponent prime factors to calculate the LCM of 98240 and 98252.

LCM(98240,98252) = 2⁶ × 5¹ × 307¹ × 7¹ × 11² × 29¹
LCM(98240,98252) = 2413069120