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What is the Least Common Multiple of 48674 and 48685?

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 48674 and 48685 is 2369693690.

LCM(48674,48685) = 2369693690

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Least Common Multiple of 48674 and 48685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48674 and 48685, than apply into the LCM equation.

GCF(48674,48685) = 1
LCM(48674,48685) = ( 48674 × 48685) / 1
LCM(48674,48685) = 2369693690 / 1
LCM(48674,48685) = 2369693690

Least Common Multiple (LCM) of 48674 and 48685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48674 and 48685. First we will calculate the prime factors of 48674 and 48685.

Prime Factorization of 48674

Prime factors of 48674 are 2, 24337. Prime factorization of 48674 in exponential form is:

48674 = 21 × 243371

Prime Factorization of 48685

Prime factors of 48685 are 5, 7, 13, 107. Prime factorization of 48685 in exponential form is:

48685 = 51 × 71 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 48674 and 48685.

LCM(48674,48685) = 21 × 243371 × 51 × 71 × 131 × 1071
LCM(48674,48685) = 2369693690