What is the Least Common Multiple of 96037 and 96052?
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 96037 and 96052 is 9224545924.
LCM(96037,96052) = 9224545924
Least Common Multiple of 96037 and 96052 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96037 and 96052, than apply into the LCM equation.
GCF(96037,96052) = 1
LCM(96037,96052) = ( 96037 × 96052) / 1
LCM(96037,96052) = 9224545924 / 1
LCM(96037,96052) = 9224545924
Least Common Multiple (LCM) of 96037 and 96052 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96037 and 96052. First we will calculate the prime factors of 96037 and 96052.
Prime Factorization of 96037
Prime factors of 96037 are 137, 701. Prime factorization of 96037 in exponential form is:
96037 = 1371 × 7011
Prime Factorization of 96052
Prime factors of 96052 are 2, 11, 37, 59. Prime factorization of 96052 in exponential form is:
96052 = 22 × 111 × 371 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 96037 and 96052.
LCM(96037,96052) = 1371 × 7011 × 22 × 111 × 371 × 591
LCM(96037,96052) = 9224545924
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