What is the Least Common Multiple of 94374 and 94389?

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 94374 and 94389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94374 and 94389, than apply into the LCM equation.

GCF(94374,94389) = 3
LCM(94374,94389) = ( 94374 × 94389) / 3
LCM(94374,94389) = 8907867486 / 3
LCM(94374,94389) = 2969289162

Least Common Multiple (LCM) of 94374 and 94389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94374 and 94389. First we will calculate the prime factors of 94374 and 94389.

Prime Factorization of 94374

Prime Factorization of 94389

Now multiplying the highest exponent prime factors to calculate the LCM of 94374 and 94389.

LCM(94374,94389) = 2¹ × 3² × 7² × 107¹ × 73¹ × 431¹
LCM(94374,94389) = 2969289162