GCF and LCM Calculator Logo

What is the Least Common Multiple of 94722 and 94740?

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 (LCM) of 94722 and 94740 is 1495660380.

LCM(94722,94740) = 1495660380

LCM Calculator and
and

Least Common Multiple of 94722 and 94740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94722 and 94740, than apply into the LCM equation.

GCF(94722,94740) = 6
LCM(94722,94740) = ( 94722 × 94740) / 6
LCM(94722,94740) = 8973962280 / 6
LCM(94722,94740) = 1495660380

Least Common Multiple (LCM) of 94722 and 94740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94722 and 94740. First we will calculate the prime factors of 94722 and 94740.

Prime Factorization of 94722

Prime factors of 94722 are 2, 3, 15787. Prime factorization of 94722 in exponential form is:

94722 = 21 × 31 × 157871

Prime Factorization of 94740

Prime factors of 94740 are 2, 3, 5, 1579. Prime factorization of 94740 in exponential form is:

94740 = 22 × 31 × 51 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 94722 and 94740.

LCM(94722,94740) = 22 × 31 × 157871 × 51 × 15791
LCM(94722,94740) = 1495660380