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What is the Least Common Multiple of 60422 and 60435?

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 60422 and 60435 is 3651603570.

LCM(60422,60435) = 3651603570

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Least Common Multiple of 60422 and 60435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60422 and 60435, than apply into the LCM equation.

GCF(60422,60435) = 1
LCM(60422,60435) = ( 60422 × 60435) / 1
LCM(60422,60435) = 3651603570 / 1
LCM(60422,60435) = 3651603570

Least Common Multiple (LCM) of 60422 and 60435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60422 and 60435. First we will calculate the prime factors of 60422 and 60435.

Prime Factorization of 60422

Prime factors of 60422 are 2, 30211. Prime factorization of 60422 in exponential form is:

60422 = 21 × 302111

Prime Factorization of 60435

Prime factors of 60435 are 3, 5, 17, 79. Prime factorization of 60435 in exponential form is:

60435 = 32 × 51 × 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 60422 and 60435.

LCM(60422,60435) = 21 × 302111 × 32 × 51 × 171 × 791
LCM(60422,60435) = 3651603570