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What is the Least Common Multiple of 42061 and 42078?

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 42061 and 42078 is 1769842758.

LCM(42061,42078) = 1769842758

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Least Common Multiple of 42061 and 42078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42061 and 42078, than apply into the LCM equation.

GCF(42061,42078) = 1
LCM(42061,42078) = ( 42061 × 42078) / 1
LCM(42061,42078) = 1769842758 / 1
LCM(42061,42078) = 1769842758

Least Common Multiple (LCM) of 42061 and 42078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42061 and 42078. First we will calculate the prime factors of 42061 and 42078.

Prime Factorization of 42061

Prime factors of 42061 are 42061. Prime factorization of 42061 in exponential form is:

42061 = 420611

Prime Factorization of 42078

Prime factors of 42078 are 2, 3, 7013. Prime factorization of 42078 in exponential form is:

42078 = 21 × 31 × 70131

Now multiplying the highest exponent prime factors to calculate the LCM of 42061 and 42078.

LCM(42061,42078) = 420611 × 21 × 31 × 70131
LCM(42061,42078) = 1769842758