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What is the Least Common Multiple of 26752 and 26757?

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 26752 and 26757 is 715803264.

LCM(26752,26757) = 715803264

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Least Common Multiple of 26752 and 26757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26752 and 26757, than apply into the LCM equation.

GCF(26752,26757) = 1
LCM(26752,26757) = ( 26752 × 26757) / 1
LCM(26752,26757) = 715803264 / 1
LCM(26752,26757) = 715803264

Least Common Multiple (LCM) of 26752 and 26757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26752 and 26757. First we will calculate the prime factors of 26752 and 26757.

Prime Factorization of 26752

Prime factors of 26752 are 2, 11, 19. Prime factorization of 26752 in exponential form is:

26752 = 27 × 111 × 191

Prime Factorization of 26757

Prime factors of 26757 are 3, 991. Prime factorization of 26757 in exponential form is:

26757 = 33 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 26752 and 26757.

LCM(26752,26757) = 27 × 111 × 191 × 33 × 9911
LCM(26752,26757) = 715803264