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What is the Least Common Multiple of 45633 and 45642?

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 45633 and 45642 is 694260462.

LCM(45633,45642) = 694260462

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Least Common Multiple of 45633 and 45642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45633 and 45642, than apply into the LCM equation.

GCF(45633,45642) = 3
LCM(45633,45642) = ( 45633 × 45642) / 3
LCM(45633,45642) = 2082781386 / 3
LCM(45633,45642) = 694260462

Least Common Multiple (LCM) of 45633 and 45642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45633 and 45642. First we will calculate the prime factors of 45633 and 45642.

Prime Factorization of 45633

Prime factors of 45633 are 3, 7, 41, 53. Prime factorization of 45633 in exponential form is:

45633 = 31 × 71 × 411 × 531

Prime Factorization of 45642

Prime factors of 45642 are 2, 3, 7607. Prime factorization of 45642 in exponential form is:

45642 = 21 × 31 × 76071

Now multiplying the highest exponent prime factors to calculate the LCM of 45633 and 45642.

LCM(45633,45642) = 31 × 71 × 411 × 531 × 21 × 76071
LCM(45633,45642) = 694260462