What is the Least Common Multiple of 95655 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 95655 and 95666 is 9150931230.
LCM(95655,95666) = 9150931230
Least Common Multiple of 95655 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 95655 and 95666, than apply into the LCM equation.
GCF(95655,95666) = 1
LCM(95655,95666) = ( 95655 × 95666) / 1
LCM(95655,95666) = 9150931230 / 1
LCM(95655,95666) = 9150931230
Least Common Multiple (LCM) of 95655 and 95666 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95655 and 95666. First we will calculate the prime factors of 95655 and 95666.
Prime Factorization of 95655
Prime factors of 95655 are 3, 5, 7, 911. Prime factorization of 95655 in exponential form is:
95655 = 31 × 51 × 71 × 9111
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 95655 and 95666.
LCM(95655,95666) = 31 × 51 × 71 × 9111 × 21 × 311 × 15431
LCM(95655,95666) = 9150931230
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