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What is the Least Common Multiple of 7621 and 7630?

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 7621 and 7630 is 58148230.

LCM(7621,7630) = 58148230

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Least Common Multiple of 7621 and 7630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7621 and 7630, than apply into the LCM equation.

GCF(7621,7630) = 1
LCM(7621,7630) = ( 7621 × 7630) / 1
LCM(7621,7630) = 58148230 / 1
LCM(7621,7630) = 58148230

Least Common Multiple (LCM) of 7621 and 7630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7630. First we will calculate the prime factors of 7621 and 7630.

Prime Factorization of 7621

Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:

7621 = 76211

Prime Factorization of 7630

Prime factors of 7630 are 2, 5, 7, 109. Prime factorization of 7630 in exponential form is:

7630 = 21 × 51 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7630.

LCM(7621,7630) = 76211 × 21 × 51 × 71 × 1091
LCM(7621,7630) = 58148230