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What is the Least Common Multiple of 49796 and 49802?

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 49796 and 49802 is 1239970196.

LCM(49796,49802) = 1239970196

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Least Common Multiple of 49796 and 49802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49796 and 49802, than apply into the LCM equation.

GCF(49796,49802) = 2
LCM(49796,49802) = ( 49796 × 49802) / 2
LCM(49796,49802) = 2479940392 / 2
LCM(49796,49802) = 1239970196

Least Common Multiple (LCM) of 49796 and 49802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49796 and 49802. First we will calculate the prime factors of 49796 and 49802.

Prime Factorization of 49796

Prime factors of 49796 are 2, 59, 211. Prime factorization of 49796 in exponential form is:

49796 = 22 × 591 × 2111

Prime Factorization of 49802

Prime factors of 49802 are 2, 37, 673. Prime factorization of 49802 in exponential form is:

49802 = 21 × 371 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 49796 and 49802.

LCM(49796,49802) = 22 × 591 × 2111 × 371 × 6731
LCM(49796,49802) = 1239970196