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What is the Least Common Multiple of 4602 and 4610?

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 4602 and 4610 is 10607610.

LCM(4602,4610) = 10607610

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Least Common Multiple of 4602 and 4610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4602 and 4610, than apply into the LCM equation.

GCF(4602,4610) = 2
LCM(4602,4610) = ( 4602 × 4610) / 2
LCM(4602,4610) = 21215220 / 2
LCM(4602,4610) = 10607610

Least Common Multiple (LCM) of 4602 and 4610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4602 and 4610. First we will calculate the prime factors of 4602 and 4610.

Prime Factorization of 4602

Prime factors of 4602 are 2, 3, 13, 59. Prime factorization of 4602 in exponential form is:

4602 = 21 × 31 × 131 × 591

Prime Factorization of 4610

Prime factors of 4610 are 2, 5, 461. Prime factorization of 4610 in exponential form is:

4610 = 21 × 51 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 4602 and 4610.

LCM(4602,4610) = 21 × 31 × 131 × 591 × 51 × 4611
LCM(4602,4610) = 10607610