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What is the Least Common Multiple of 49061 and 49066?

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 49061 and 49066 is 2407227026.

LCM(49061,49066) = 2407227026

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Least Common Multiple of 49061 and 49066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49061 and 49066, than apply into the LCM equation.

GCF(49061,49066) = 1
LCM(49061,49066) = ( 49061 × 49066) / 1
LCM(49061,49066) = 2407227026 / 1
LCM(49061,49066) = 2407227026

Least Common Multiple (LCM) of 49061 and 49066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49061 and 49066. First we will calculate the prime factors of 49061 and 49066.

Prime Factorization of 49061

Prime factors of 49061 are 71, 691. Prime factorization of 49061 in exponential form is:

49061 = 711 × 6911

Prime Factorization of 49066

Prime factors of 49066 are 2, 24533. Prime factorization of 49066 in exponential form is:

49066 = 21 × 245331

Now multiplying the highest exponent prime factors to calculate the LCM of 49061 and 49066.

LCM(49061,49066) = 711 × 6911 × 21 × 245331
LCM(49061,49066) = 2407227026