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What is the Least Common Multiple of 61051 and 61061?

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 61051 and 61061 is 3727835111.

LCM(61051,61061) = 3727835111

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Least Common Multiple of 61051 and 61061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61051 and 61061, than apply into the LCM equation.

GCF(61051,61061) = 1
LCM(61051,61061) = ( 61051 × 61061) / 1
LCM(61051,61061) = 3727835111 / 1
LCM(61051,61061) = 3727835111

Least Common Multiple (LCM) of 61051 and 61061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61051 and 61061. First we will calculate the prime factors of 61051 and 61061.

Prime Factorization of 61051

Prime factors of 61051 are 61051. Prime factorization of 61051 in exponential form is:

61051 = 610511

Prime Factorization of 61061

Prime factors of 61061 are 7, 11, 13, 61. Prime factorization of 61061 in exponential form is:

61061 = 71 × 111 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 61051 and 61061.

LCM(61051,61061) = 610511 × 71 × 111 × 131 × 611
LCM(61051,61061) = 3727835111