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What is the Least Common Multiple of 4605 and 4624?

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 4605 and 4624 is 21293520.

LCM(4605,4624) = 21293520

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Least Common Multiple of 4605 and 4624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4605 and 4624, than apply into the LCM equation.

GCF(4605,4624) = 1
LCM(4605,4624) = ( 4605 × 4624) / 1
LCM(4605,4624) = 21293520 / 1
LCM(4605,4624) = 21293520

Least Common Multiple (LCM) of 4605 and 4624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4605 and 4624. First we will calculate the prime factors of 4605 and 4624.

Prime Factorization of 4605

Prime factors of 4605 are 3, 5, 307. Prime factorization of 4605 in exponential form is:

4605 = 31 × 51 × 3071

Prime Factorization of 4624

Prime factors of 4624 are 2, 17. Prime factorization of 4624 in exponential form is:

4624 = 24 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 4605 and 4624.

LCM(4605,4624) = 31 × 51 × 3071 × 24 × 172
LCM(4605,4624) = 21293520