What is the Least Common Multiple of 95657 and 95666?
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 95657 and 95666 is 9151122562.
LCM(95657,95666) = 9151122562
Least Common Multiple of 95657 and 95666 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95657 and 95666, than apply into the LCM equation.
GCF(95657,95666) = 1
LCM(95657,95666) = ( 95657 × 95666) / 1
LCM(95657,95666) = 9151122562 / 1
LCM(95657,95666) = 9151122562
Least Common Multiple (LCM) of 95657 and 95666 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95657 and 95666. First we will calculate the prime factors of 95657 and 95666.
Prime Factorization of 95657
Prime factors of 95657 are 23, 4159. Prime factorization of 95657 in exponential form is:
95657 = 231 × 41591
Prime Factorization of 95666
Prime factors of 95666 are 2, 31, 1543. Prime factorization of 95666 in exponential form is:
95666 = 21 × 311 × 15431
Now multiplying the highest exponent prime factors to calculate the LCM of 95657 and 95666.
LCM(95657,95666) = 231 × 41591 × 21 × 311 × 15431
LCM(95657,95666) = 9151122562
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