What is the Least Common Multiple of 56618 and 56622?
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 56618 and 56622 is 1602912198.
LCM(56618,56622) = 1602912198
Least Common Multiple of 56618 and 56622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56618 and 56622, than apply into the LCM equation.
GCF(56618,56622) = 2
LCM(56618,56622) = ( 56618 × 56622) / 2
LCM(56618,56622) = 3205824396 / 2
LCM(56618,56622) = 1602912198
Least Common Multiple (LCM) of 56618 and 56622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56618 and 56622. First we will calculate the prime factors of 56618 and 56622.
Prime Factorization of 56618
Prime factors of 56618 are 2, 28309. Prime factorization of 56618 in exponential form is:
56618 = 21 × 283091
Prime Factorization of 56622
Prime factors of 56622 are 2, 3, 9437. Prime factorization of 56622 in exponential form is:
56622 = 21 × 31 × 94371
Now multiplying the highest exponent prime factors to calculate the LCM of 56618 and 56622.
LCM(56618,56622) = 21 × 283091 × 31 × 94371
LCM(56618,56622) = 1602912198
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