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What is the Least Common Multiple of 73680 and 73685?

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 73680 and 73685 is 1085822160.

LCM(73680,73685) = 1085822160

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Least Common Multiple of 73680 and 73685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73680 and 73685, than apply into the LCM equation.

GCF(73680,73685) = 5
LCM(73680,73685) = ( 73680 × 73685) / 5
LCM(73680,73685) = 5429110800 / 5
LCM(73680,73685) = 1085822160

Least Common Multiple (LCM) of 73680 and 73685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73680 and 73685. First we will calculate the prime factors of 73680 and 73685.

Prime Factorization of 73680

Prime factors of 73680 are 2, 3, 5, 307. Prime factorization of 73680 in exponential form is:

73680 = 24 × 31 × 51 × 3071

Prime Factorization of 73685

Prime factors of 73685 are 5, 14737. Prime factorization of 73685 in exponential form is:

73685 = 51 × 147371

Now multiplying the highest exponent prime factors to calculate the LCM of 73680 and 73685.

LCM(73680,73685) = 24 × 31 × 51 × 3071 × 147371
LCM(73680,73685) = 1085822160