What is the Least Common Multiple of 92640 and 92648?
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 92640 and 92648 is 1072863840.
LCM(92640,92648) = 1072863840
Least Common Multiple of 92640 and 92648 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92640 and 92648, than apply into the LCM equation.
GCF(92640,92648) = 8
LCM(92640,92648) = ( 92640 × 92648) / 8
LCM(92640,92648) = 8582910720 / 8
LCM(92640,92648) = 1072863840
Least Common Multiple (LCM) of 92640 and 92648 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92640 and 92648. First we will calculate the prime factors of 92640 and 92648.
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
Prime Factorization of 92648
Prime factors of 92648 are 2, 37, 313. Prime factorization of 92648 in exponential form is:
92648 = 23 × 371 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 92640 and 92648.
LCM(92640,92648) = 25 × 31 × 51 × 1931 × 371 × 3131
LCM(92640,92648) = 1072863840
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