What is the Least Common Multiple of 96052 and 96059?
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 96052 and 96059 is 9226659068.
LCM(96052,96059) = 9226659068
Least Common Multiple of 96052 and 96059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96052 and 96059, than apply into the LCM equation.
GCF(96052,96059) = 1
LCM(96052,96059) = ( 96052 × 96059) / 1
LCM(96052,96059) = 9226659068 / 1
LCM(96052,96059) = 9226659068
Least Common Multiple (LCM) of 96052 and 96059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96052 and 96059. First we will calculate the prime factors of 96052 and 96059.
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
Prime Factorization of 96059
Prime factors of 96059 are 96059. Prime factorization of 96059 in exponential form is:
96059 = 960591
Now multiplying the highest exponent prime factors to calculate the LCM of 96052 and 96059.
LCM(96052,96059) = 22 × 111 × 371 × 591 × 960591
LCM(96052,96059) = 9226659068
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