What is the Least Common Multiple of 94940 and 94945?

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 94940 and 94945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94940 and 94945, than apply into the LCM equation.

GCF(94940,94945) = 5
LCM(94940,94945) = ( 94940 × 94945) / 5
LCM(94940,94945) = 9014078300 / 5
LCM(94940,94945) = 1802815660

Least Common Multiple (LCM) of 94940 and 94945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94940 and 94945. First we will calculate the prime factors of 94940 and 94945.

Prime Factorization of 94940

Prime Factorization of 94945

Now multiplying the highest exponent prime factors to calculate the LCM of 94940 and 94945.

LCM(94940,94945) = 2² × 5¹ × 47¹ × 101¹ × 17¹ × 1117¹
LCM(94940,94945) = 1802815660