What is the Least Common Multiple of 94215 and 94224?

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 94215 and 94224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94215 and 94224, than apply into the LCM equation.

GCF(94215,94224) = 3
LCM(94215,94224) = ( 94215 × 94224) / 3
LCM(94215,94224) = 8877314160 / 3
LCM(94215,94224) = 2959104720

Least Common Multiple (LCM) of 94215 and 94224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94215 and 94224. First we will calculate the prime factors of 94215 and 94224.

Prime Factorization of 94215

Prime Factorization of 94224

Now multiplying the highest exponent prime factors to calculate the LCM of 94215 and 94224.

LCM(94215,94224) = 3¹ × 5¹ × 11¹ × 571¹ × 2⁴ × 13¹ × 151¹
LCM(94215,94224) = 2959104720