What is the Least Common Multiple of 32618 and 32634?
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 32618 and 32634 is 532227906.
LCM(32618,32634) = 532227906
Least Common Multiple of 32618 and 32634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32618 and 32634, than apply into the LCM equation.
GCF(32618,32634) = 2
LCM(32618,32634) = ( 32618 × 32634) / 2
LCM(32618,32634) = 1064455812 / 2
LCM(32618,32634) = 532227906
Least Common Multiple (LCM) of 32618 and 32634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32618 and 32634. First we will calculate the prime factors of 32618 and 32634.
Prime Factorization of 32618
Prime factors of 32618 are 2, 47, 347. Prime factorization of 32618 in exponential form is:
32618 = 21 × 471 × 3471
Prime Factorization of 32634
Prime factors of 32634 are 2, 3, 7, 37. Prime factorization of 32634 in exponential form is:
32634 = 21 × 32 × 72 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 32618 and 32634.
LCM(32618,32634) = 21 × 471 × 3471 × 32 × 72 × 371
LCM(32618,32634) = 532227906
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