What is the Least Common Multiple of 68618 and 68624?
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 68618 and 68624 is 2354420816.
LCM(68618,68624) = 2354420816
Least Common Multiple of 68618 and 68624 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68618 and 68624, than apply into the LCM equation.
GCF(68618,68624) = 2
LCM(68618,68624) = ( 68618 × 68624) / 2
LCM(68618,68624) = 4708841632 / 2
LCM(68618,68624) = 2354420816
Least Common Multiple (LCM) of 68618 and 68624 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68618 and 68624. First we will calculate the prime factors of 68618 and 68624.
Prime Factorization of 68618
Prime factors of 68618 are 2, 11, 3119. Prime factorization of 68618 in exponential form is:
68618 = 21 × 111 × 31191
Prime Factorization of 68624
Prime factors of 68624 are 2, 4289. Prime factorization of 68624 in exponential form is:
68624 = 24 × 42891
Now multiplying the highest exponent prime factors to calculate the LCM of 68618 and 68624.
LCM(68618,68624) = 24 × 111 × 31191 × 42891
LCM(68618,68624) = 2354420816
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