What is the Least Common Multiple of 95618 and 95638?
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 95618 and 95638 is 4572357142.
LCM(95618,95638) = 4572357142
Least Common Multiple of 95618 and 95638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95618 and 95638, than apply into the LCM equation.
GCF(95618,95638) = 2
LCM(95618,95638) = ( 95618 × 95638) / 2
LCM(95618,95638) = 9144714284 / 2
LCM(95618,95638) = 4572357142
Least Common Multiple (LCM) of 95618 and 95638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95618 and 95638. First we will calculate the prime factors of 95618 and 95638.
Prime Factorization of 95618
Prime factors of 95618 are 2, 47809. Prime factorization of 95618 in exponential form is:
95618 = 21 × 478091
Prime Factorization of 95638
Prime factors of 95638 are 2, 47819. Prime factorization of 95638 in exponential form is:
95638 = 21 × 478191
Now multiplying the highest exponent prime factors to calculate the LCM of 95618 and 95638.
LCM(95618,95638) = 21 × 478091 × 478191
LCM(95618,95638) = 4572357142
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