What is the Least Common Multiple of 2624 and 2638?
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 2624 and 2638 is 3461056.
LCM(2624,2638) = 3461056
Least Common Multiple of 2624 and 2638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2624 and 2638, than apply into the LCM equation.
GCF(2624,2638) = 2
LCM(2624,2638) = ( 2624 × 2638) / 2
LCM(2624,2638) = 6922112 / 2
LCM(2624,2638) = 3461056
Least Common Multiple (LCM) of 2624 and 2638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2624 and 2638. First we will calculate the prime factors of 2624 and 2638.
Prime Factorization of 2624
Prime factors of 2624 are 2, 41. Prime factorization of 2624 in exponential form is:
2624 = 26 × 411
Prime Factorization of 2638
Prime factors of 2638 are 2, 1319. Prime factorization of 2638 in exponential form is:
2638 = 21 × 13191
Now multiplying the highest exponent prime factors to calculate the LCM of 2624 and 2638.
LCM(2624,2638) = 26 × 411 × 13191
LCM(2624,2638) = 3461056
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