What is the Least Common Multiple of 96520 and 96528?
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 96520 and 96528 is 1164610320.
LCM(96520,96528) = 1164610320
Least Common Multiple of 96520 and 96528 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96520 and 96528, than apply into the LCM equation.
GCF(96520,96528) = 8
LCM(96520,96528) = ( 96520 × 96528) / 8
LCM(96520,96528) = 9316882560 / 8
LCM(96520,96528) = 1164610320
Least Common Multiple (LCM) of 96520 and 96528 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96520 and 96528. First we will calculate the prime factors of 96520 and 96528.
Prime Factorization of 96520
Prime factors of 96520 are 2, 5, 19, 127. Prime factorization of 96520 in exponential form is:
96520 = 23 × 51 × 191 × 1271
Prime Factorization of 96528
Prime factors of 96528 are 2, 3, 2011. Prime factorization of 96528 in exponential form is:
96528 = 24 × 31 × 20111
Now multiplying the highest exponent prime factors to calculate the LCM of 96520 and 96528.
LCM(96520,96528) = 24 × 51 × 191 × 1271 × 31 × 20111
LCM(96520,96528) = 1164610320
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