What is the Least Common Multiple of 95610 and 95618?
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 95610 and 95618 is 4571018490.
LCM(95610,95618) = 4571018490
Least Common Multiple of 95610 and 95618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95610 and 95618, than apply into the LCM equation.
GCF(95610,95618) = 2
LCM(95610,95618) = ( 95610 × 95618) / 2
LCM(95610,95618) = 9142036980 / 2
LCM(95610,95618) = 4571018490
Least Common Multiple (LCM) of 95610 and 95618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95610 and 95618. First we will calculate the prime factors of 95610 and 95618.
Prime Factorization of 95610
Prime factors of 95610 are 2, 3, 5, 3187. Prime factorization of 95610 in exponential form is:
95610 = 21 × 31 × 51 × 31871
Prime Factorization of 95618
Prime factors of 95618 are 2, 47809. Prime factorization of 95618 in exponential form is:
95618 = 21 × 478091
Now multiplying the highest exponent prime factors to calculate the LCM of 95610 and 95618.
LCM(95610,95618) = 21 × 31 × 51 × 31871 × 478091
LCM(95610,95618) = 4571018490
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