What is the Least Common Multiple of 95637 and 95657?
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 95657 is 9148348509.
LCM(95637,95657) = 9148348509
Least Common Multiple of 95637 and 95657 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 95657, than apply into the LCM equation.
GCF(95637,95657) = 1
LCM(95637,95657) = ( 95637 × 95657) / 1
LCM(95637,95657) = 9148348509 / 1
LCM(95637,95657) = 9148348509
Least Common Multiple (LCM) of 95637 and 95657 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95637 and 95657. First we will calculate the prime factors of 95637 and 95657.
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 95657
Prime factors of 95657 are 23, 4159. Prime factorization of 95657 in exponential form is:
95657 = 231 × 41591
Now multiplying the highest exponent prime factors to calculate the LCM of 95637 and 95657.
LCM(95637,95657) = 31 × 711 × 4491 × 231 × 41591
LCM(95637,95657) = 9148348509
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