What is the Least Common Multiple of 69648 and 69658?
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 69648 and 69658 is 2425770192.
LCM(69648,69658) = 2425770192
Least Common Multiple of 69648 and 69658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69648 and 69658, than apply into the LCM equation.
GCF(69648,69658) = 2
LCM(69648,69658) = ( 69648 × 69658) / 2
LCM(69648,69658) = 4851540384 / 2
LCM(69648,69658) = 2425770192
Least Common Multiple (LCM) of 69648 and 69658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69648 and 69658. First we will calculate the prime factors of 69648 and 69658.
Prime Factorization of 69648
Prime factors of 69648 are 2, 3, 1451. Prime factorization of 69648 in exponential form is:
69648 = 24 × 31 × 14511
Prime Factorization of 69658
Prime factors of 69658 are 2, 29, 1201. Prime factorization of 69658 in exponential form is:
69658 = 21 × 291 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 69648 and 69658.
LCM(69648,69658) = 24 × 31 × 14511 × 291 × 12011
LCM(69648,69658) = 2425770192
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