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What is the Least Common Multiple of 37103 and 37108?

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 37103 and 37108 is 1376818124.

LCM(37103,37108) = 1376818124

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Least Common Multiple of 37103 and 37108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37103 and 37108, than apply into the LCM equation.

GCF(37103,37108) = 1
LCM(37103,37108) = ( 37103 × 37108) / 1
LCM(37103,37108) = 1376818124 / 1
LCM(37103,37108) = 1376818124

Least Common Multiple (LCM) of 37103 and 37108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37103 and 37108. First we will calculate the prime factors of 37103 and 37108.

Prime Factorization of 37103

Prime factors of 37103 are 11, 3373. Prime factorization of 37103 in exponential form is:

37103 = 111 × 33731

Prime Factorization of 37108

Prime factors of 37108 are 2, 9277. Prime factorization of 37108 in exponential form is:

37108 = 22 × 92771

Now multiplying the highest exponent prime factors to calculate the LCM of 37103 and 37108.

LCM(37103,37108) = 111 × 33731 × 22 × 92771
LCM(37103,37108) = 1376818124