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What is the Least Common Multiple of 36577 and 36595?

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 36577 and 36595 is 1338535315.

LCM(36577,36595) = 1338535315

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Least Common Multiple of 36577 and 36595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36577 and 36595, than apply into the LCM equation.

GCF(36577,36595) = 1
LCM(36577,36595) = ( 36577 × 36595) / 1
LCM(36577,36595) = 1338535315 / 1
LCM(36577,36595) = 1338535315

Least Common Multiple (LCM) of 36577 and 36595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36577 and 36595. First we will calculate the prime factors of 36577 and 36595.

Prime Factorization of 36577

Prime factors of 36577 are 79, 463. Prime factorization of 36577 in exponential form is:

36577 = 791 × 4631

Prime Factorization of 36595

Prime factors of 36595 are 5, 13, 563. Prime factorization of 36595 in exponential form is:

36595 = 51 × 131 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 36577 and 36595.

LCM(36577,36595) = 791 × 4631 × 51 × 131 × 5631
LCM(36577,36595) = 1338535315