What is the Least Common Multiple of 92614 and 92630?
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 92614 and 92630 is 4289417410.
LCM(92614,92630) = 4289417410
Least Common Multiple of 92614 and 92630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92614 and 92630, than apply into the LCM equation.
GCF(92614,92630) = 2
LCM(92614,92630) = ( 92614 × 92630) / 2
LCM(92614,92630) = 8578834820 / 2
LCM(92614,92630) = 4289417410
Least Common Multiple (LCM) of 92614 and 92630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92614 and 92630. First we will calculate the prime factors of 92614 and 92630.
Prime Factorization of 92614
Prime factors of 92614 are 2, 46307. Prime factorization of 92614 in exponential form is:
92614 = 21 × 463071
Prime Factorization of 92630
Prime factors of 92630 are 2, 5, 59, 157. Prime factorization of 92630 in exponential form is:
92630 = 21 × 51 × 591 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 92614 and 92630.
LCM(92614,92630) = 21 × 463071 × 51 × 591 × 1571
LCM(92614,92630) = 4289417410
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