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What is the Least Common Multiple of 94720 and 94733?

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 94720 and 94733 is 8973109760.

LCM(94720,94733) = 8973109760

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Least Common Multiple of 94720 and 94733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94720 and 94733, than apply into the LCM equation.

GCF(94720,94733) = 1
LCM(94720,94733) = ( 94720 × 94733) / 1
LCM(94720,94733) = 8973109760 / 1
LCM(94720,94733) = 8973109760

Least Common Multiple (LCM) of 94720 and 94733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94720 and 94733. First we will calculate the prime factors of 94720 and 94733.

Prime Factorization of 94720

Prime factors of 94720 are 2, 5, 37. Prime factorization of 94720 in exponential form is:

94720 = 29 × 51 × 371

Prime Factorization of 94733

Prime factors of 94733 are 61, 1553. Prime factorization of 94733 in exponential form is:

94733 = 611 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 94720 and 94733.

LCM(94720,94733) = 29 × 51 × 371 × 611 × 15531
LCM(94720,94733) = 8973109760