What is the Least Common Multiple of 92630 and 92640?
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 92630 and 92640 is 858124320.
LCM(92630,92640) = 858124320
Least Common Multiple of 92630 and 92640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92630 and 92640, than apply into the LCM equation.
GCF(92630,92640) = 10
LCM(92630,92640) = ( 92630 × 92640) / 10
LCM(92630,92640) = 8581243200 / 10
LCM(92630,92640) = 858124320
Least Common Multiple (LCM) of 92630 and 92640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92630 and 92640. First we will calculate the prime factors of 92630 and 92640.
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
Prime Factorization of 92640
Prime factors of 92640 are 2, 3, 5, 193. Prime factorization of 92640 in exponential form is:
92640 = 25 × 31 × 51 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 92630 and 92640.
LCM(92630,92640) = 25 × 51 × 591 × 1571 × 31 × 1931
LCM(92630,92640) = 858124320
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