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What is the Least Common Multiple of 49692 and 49698?

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 49692 and 49698 is 411598836.

LCM(49692,49698) = 411598836

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Least Common Multiple of 49692 and 49698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49692 and 49698, than apply into the LCM equation.

GCF(49692,49698) = 6
LCM(49692,49698) = ( 49692 × 49698) / 6
LCM(49692,49698) = 2469593016 / 6
LCM(49692,49698) = 411598836

Least Common Multiple (LCM) of 49692 and 49698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49692 and 49698. First we will calculate the prime factors of 49692 and 49698.

Prime Factorization of 49692

Prime factors of 49692 are 2, 3, 41, 101. Prime factorization of 49692 in exponential form is:

49692 = 22 × 31 × 411 × 1011

Prime Factorization of 49698

Prime factors of 49698 are 2, 3, 11, 251. Prime factorization of 49698 in exponential form is:

49698 = 21 × 32 × 111 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 49692 and 49698.

LCM(49692,49698) = 22 × 32 × 411 × 1011 × 111 × 2511
LCM(49692,49698) = 411598836