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What is the Least Common Multiple of 4610 and 4620?

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 4610 and 4620 is 2129820.

LCM(4610,4620) = 2129820

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Least Common Multiple of 4610 and 4620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4610 and 4620, than apply into the LCM equation.

GCF(4610,4620) = 10
LCM(4610,4620) = ( 4610 × 4620) / 10
LCM(4610,4620) = 21298200 / 10
LCM(4610,4620) = 2129820

Least Common Multiple (LCM) of 4610 and 4620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4610 and 4620. First we will calculate the prime factors of 4610 and 4620.

Prime Factorization of 4610

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

4610 = 21 × 51 × 4611

Prime Factorization of 4620

Prime factors of 4620 are 2, 3, 5, 7, 11. Prime factorization of 4620 in exponential form is:

4620 = 22 × 31 × 51 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 4610 and 4620.

LCM(4610,4620) = 22 × 51 × 4611 × 31 × 71 × 111
LCM(4610,4620) = 2129820