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What is the Least Common Multiple of 91752 and 91770?

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 91752 and 91770 is 1403346840.

LCM(91752,91770) = 1403346840

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Least Common Multiple of 91752 and 91770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91752 and 91770, than apply into the LCM equation.

GCF(91752,91770) = 6
LCM(91752,91770) = ( 91752 × 91770) / 6
LCM(91752,91770) = 8420081040 / 6
LCM(91752,91770) = 1403346840

Least Common Multiple (LCM) of 91752 and 91770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91752 and 91770. First we will calculate the prime factors of 91752 and 91770.

Prime Factorization of 91752

Prime factors of 91752 are 2, 3, 3823. Prime factorization of 91752 in exponential form is:

91752 = 23 × 31 × 38231

Prime Factorization of 91770

Prime factors of 91770 are 2, 3, 5, 7, 19, 23. Prime factorization of 91770 in exponential form is:

91770 = 21 × 31 × 51 × 71 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 91752 and 91770.

LCM(91752,91770) = 23 × 31 × 38231 × 51 × 71 × 191 × 231
LCM(91752,91770) = 1403346840