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What is the Least Common Multiple of 48037 and 48050?

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 48037 and 48050 is 2308177850.

LCM(48037,48050) = 2308177850

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Least Common Multiple of 48037 and 48050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48037 and 48050, than apply into the LCM equation.

GCF(48037,48050) = 1
LCM(48037,48050) = ( 48037 × 48050) / 1
LCM(48037,48050) = 2308177850 / 1
LCM(48037,48050) = 2308177850

Least Common Multiple (LCM) of 48037 and 48050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48037 and 48050. First we will calculate the prime factors of 48037 and 48050.

Prime Factorization of 48037

Prime factors of 48037 are 11, 397. Prime factorization of 48037 in exponential form is:

48037 = 112 × 3971

Prime Factorization of 48050

Prime factors of 48050 are 2, 5, 31. Prime factorization of 48050 in exponential form is:

48050 = 21 × 52 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 48037 and 48050.

LCM(48037,48050) = 112 × 3971 × 21 × 52 × 312
LCM(48037,48050) = 2308177850