What is the Least Common Multiple of 95637 and 95647?
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 95637 and 95647 is 9147392139.
LCM(95637,95647) = 9147392139
Least Common Multiple of 95637 and 95647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95637 and 95647, than apply into the LCM equation.
GCF(95637,95647) = 1
LCM(95637,95647) = ( 95637 × 95647) / 1
LCM(95637,95647) = 9147392139 / 1
LCM(95637,95647) = 9147392139
Least Common Multiple (LCM) of 95637 and 95647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95637 and 95647. First we will calculate the prime factors of 95637 and 95647.
Prime Factorization of 95637
Prime factors of 95637 are 3, 71, 449. Prime factorization of 95637 in exponential form is:
95637 = 31 × 711 × 4491
Prime Factorization of 95647
Prime factors of 95647 are 101, 947. Prime factorization of 95647 in exponential form is:
95647 = 1011 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 95637 and 95647.
LCM(95637,95647) = 31 × 711 × 4491 × 1011 × 9471
LCM(95637,95647) = 9147392139
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