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What is the Least Common Multiple of 26759 and 26763?

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 26759 and 26763 is 716151117.

LCM(26759,26763) = 716151117

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Least Common Multiple of 26759 and 26763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26759 and 26763, than apply into the LCM equation.

GCF(26759,26763) = 1
LCM(26759,26763) = ( 26759 × 26763) / 1
LCM(26759,26763) = 716151117 / 1
LCM(26759,26763) = 716151117

Least Common Multiple (LCM) of 26759 and 26763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26759 and 26763. First we will calculate the prime factors of 26759 and 26763.

Prime Factorization of 26759

Prime factors of 26759 are 26759. Prime factorization of 26759 in exponential form is:

26759 = 267591

Prime Factorization of 26763

Prime factors of 26763 are 3, 11, 811. Prime factorization of 26763 in exponential form is:

26763 = 31 × 111 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 26759 and 26763.

LCM(26759,26763) = 267591 × 31 × 111 × 8111
LCM(26759,26763) = 716151117