What is the Least Common Multiple of 96744 and 96748?
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 96744 and 96748 is 2339947128.
LCM(96744,96748) = 2339947128
Least Common Multiple of 96744 and 96748 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96744 and 96748, than apply into the LCM equation.
GCF(96744,96748) = 4
LCM(96744,96748) = ( 96744 × 96748) / 4
LCM(96744,96748) = 9359788512 / 4
LCM(96744,96748) = 2339947128
Least Common Multiple (LCM) of 96744 and 96748 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96744 and 96748. First we will calculate the prime factors of 96744 and 96748.
Prime Factorization of 96744
Prime factors of 96744 are 2, 3, 29, 139. Prime factorization of 96744 in exponential form is:
96744 = 23 × 31 × 291 × 1391
Prime Factorization of 96748
Prime factors of 96748 are 2, 19, 67. Prime factorization of 96748 in exponential form is:
96748 = 22 × 192 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 96744 and 96748.
LCM(96744,96748) = 23 × 31 × 291 × 1391 × 192 × 671
LCM(96744,96748) = 2339947128
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