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What is the Least Common Multiple of 89738 and 89748?

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 89738 and 89748 is 4026903012.

LCM(89738,89748) = 4026903012

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Least Common Multiple of 89738 and 89748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89738 and 89748, than apply into the LCM equation.

GCF(89738,89748) = 2
LCM(89738,89748) = ( 89738 × 89748) / 2
LCM(89738,89748) = 8053806024 / 2
LCM(89738,89748) = 4026903012

Least Common Multiple (LCM) of 89738 and 89748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89738 and 89748. First we will calculate the prime factors of 89738 and 89748.

Prime Factorization of 89738

Prime factors of 89738 are 2, 11, 4079. Prime factorization of 89738 in exponential form is:

89738 = 21 × 111 × 40791

Prime Factorization of 89748

Prime factors of 89748 are 2, 3, 277. Prime factorization of 89748 in exponential form is:

89748 = 22 × 34 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 89738 and 89748.

LCM(89738,89748) = 22 × 111 × 40791 × 34 × 2771
LCM(89738,89748) = 4026903012