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What is the Least Common Multiple of 61054 and 61069?

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 61054 and 61069 is 3728506726.

LCM(61054,61069) = 3728506726

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Least Common Multiple of 61054 and 61069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61054 and 61069, than apply into the LCM equation.

GCF(61054,61069) = 1
LCM(61054,61069) = ( 61054 × 61069) / 1
LCM(61054,61069) = 3728506726 / 1
LCM(61054,61069) = 3728506726

Least Common Multiple (LCM) of 61054 and 61069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61054 and 61069. First we will calculate the prime factors of 61054 and 61069.

Prime Factorization of 61054

Prime factors of 61054 are 2, 7, 89. Prime factorization of 61054 in exponential form is:

61054 = 21 × 73 × 891

Prime Factorization of 61069

Prime factors of 61069 are 173, 353. Prime factorization of 61069 in exponential form is:

61069 = 1731 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 61054 and 61069.

LCM(61054,61069) = 21 × 73 × 891 × 1731 × 3531
LCM(61054,61069) = 3728506726