What is the Least Common Multiple of 22618 and 22636?
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 22618 and 22636 is 255990524.
LCM(22618,22636) = 255990524
Least Common Multiple of 22618 and 22636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22618 and 22636, than apply into the LCM equation.
GCF(22618,22636) = 2
LCM(22618,22636) = ( 22618 × 22636) / 2
LCM(22618,22636) = 511981048 / 2
LCM(22618,22636) = 255990524
Least Common Multiple (LCM) of 22618 and 22636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22618 and 22636. First we will calculate the prime factors of 22618 and 22636.
Prime Factorization of 22618
Prime factors of 22618 are 2, 43, 263. Prime factorization of 22618 in exponential form is:
22618 = 21 × 431 × 2631
Prime Factorization of 22636
Prime factors of 22636 are 2, 5659. Prime factorization of 22636 in exponential form is:
22636 = 22 × 56591
Now multiplying the highest exponent prime factors to calculate the LCM of 22618 and 22636.
LCM(22618,22636) = 22 × 431 × 2631 × 56591
LCM(22618,22636) = 255990524
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