What is the Least Common Multiple of 82240 and 82251?

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 82240 and 82251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82240 and 82251, than apply into the LCM equation.

GCF(82240,82251) = 1
LCM(82240,82251) = ( 82240 × 82251) / 1
LCM(82240,82251) = 6764322240 / 1
LCM(82240,82251) = 6764322240

Least Common Multiple (LCM) of 82240 and 82251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82240 and 82251. First we will calculate the prime factors of 82240 and 82251.

Prime Factorization of 82240

Prime Factorization of 82251

Now multiplying the highest exponent prime factors to calculate the LCM of 82240 and 82251.

LCM(82240,82251) = 2⁶ × 5¹ × 257¹ × 3² × 13¹ × 19¹ × 37¹
LCM(82240,82251) = 6764322240