What is the Least Common Multiple of 92624 and 92632?
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 92624 and 92632 is 1072493296.
LCM(92624,92632) = 1072493296
Least Common Multiple of 92624 and 92632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92624 and 92632, than apply into the LCM equation.
GCF(92624,92632) = 8
LCM(92624,92632) = ( 92624 × 92632) / 8
LCM(92624,92632) = 8579946368 / 8
LCM(92624,92632) = 1072493296
Least Common Multiple (LCM) of 92624 and 92632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92624 and 92632. First we will calculate the prime factors of 92624 and 92632.
Prime Factorization of 92624
Prime factors of 92624 are 2, 7, 827. Prime factorization of 92624 in exponential form is:
92624 = 24 × 71 × 8271
Prime Factorization of 92632
Prime factors of 92632 are 2, 11579. Prime factorization of 92632 in exponential form is:
92632 = 23 × 115791
Now multiplying the highest exponent prime factors to calculate the LCM of 92624 and 92632.
LCM(92624,92632) = 24 × 71 × 8271 × 115791
LCM(92624,92632) = 1072493296
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