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What is the Least Common Multiple of 73722 and 73731?

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 73722 and 73731 is 1811865594.

LCM(73722,73731) = 1811865594

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Least Common Multiple of 73722 and 73731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73722 and 73731, than apply into the LCM equation.

GCF(73722,73731) = 3
LCM(73722,73731) = ( 73722 × 73731) / 3
LCM(73722,73731) = 5435596782 / 3
LCM(73722,73731) = 1811865594

Least Common Multiple (LCM) of 73722 and 73731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73722 and 73731. First we will calculate the prime factors of 73722 and 73731.

Prime Factorization of 73722

Prime factors of 73722 are 2, 3, 11, 1117. Prime factorization of 73722 in exponential form is:

73722 = 21 × 31 × 111 × 11171

Prime Factorization of 73731

Prime factors of 73731 are 3, 7, 3511. Prime factorization of 73731 in exponential form is:

73731 = 31 × 71 × 35111

Now multiplying the highest exponent prime factors to calculate the LCM of 73722 and 73731.

LCM(73722,73731) = 21 × 31 × 111 × 11171 × 71 × 35111
LCM(73722,73731) = 1811865594