What is the Least Common Multiple of 63618 and 63627?
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 63618 and 63627 is 1349274162.
LCM(63618,63627) = 1349274162
Least Common Multiple of 63618 and 63627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63618 and 63627, than apply into the LCM equation.
GCF(63618,63627) = 3
LCM(63618,63627) = ( 63618 × 63627) / 3
LCM(63618,63627) = 4047822486 / 3
LCM(63618,63627) = 1349274162
Least Common Multiple (LCM) of 63618 and 63627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63618 and 63627. First we will calculate the prime factors of 63618 and 63627.
Prime Factorization of 63618
Prime factors of 63618 are 2, 3, 23, 461. Prime factorization of 63618 in exponential form is:
63618 = 21 × 31 × 231 × 4611
Prime Factorization of 63627
Prime factors of 63627 are 3, 127, 167. Prime factorization of 63627 in exponential form is:
63627 = 31 × 1271 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 63618 and 63627.
LCM(63618,63627) = 21 × 31 × 231 × 4611 × 1271 × 1671
LCM(63618,63627) = 1349274162
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