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What is the Least Common Multiple of 60419 and 60429?

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 60419 and 60429 is 3651059751.

LCM(60419,60429) = 3651059751

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Least Common Multiple of 60419 and 60429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60419 and 60429, than apply into the LCM equation.

GCF(60419,60429) = 1
LCM(60419,60429) = ( 60419 × 60429) / 1
LCM(60419,60429) = 3651059751 / 1
LCM(60419,60429) = 3651059751

Least Common Multiple (LCM) of 60419 and 60429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60419 and 60429. First we will calculate the prime factors of 60419 and 60429.

Prime Factorization of 60419

Prime factors of 60419 are 31, 1949. Prime factorization of 60419 in exponential form is:

60419 = 311 × 19491

Prime Factorization of 60429

Prime factors of 60429 are 3, 20143. Prime factorization of 60429 in exponential form is:

60429 = 31 × 201431

Now multiplying the highest exponent prime factors to calculate the LCM of 60419 and 60429.

LCM(60419,60429) = 311 × 19491 × 31 × 201431
LCM(60419,60429) = 3651059751