What is the Least Common Multiple of 68618 and 68637?
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 68637 is 4709733666.
LCM(68618,68637) = 4709733666
Least Common Multiple of 68618 and 68637 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 68637, than apply into the LCM equation.
GCF(68618,68637) = 1
LCM(68618,68637) = ( 68618 × 68637) / 1
LCM(68618,68637) = 4709733666 / 1
LCM(68618,68637) = 4709733666
Least Common Multiple (LCM) of 68618 and 68637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68618 and 68637. First we will calculate the prime factors of 68618 and 68637.
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 68637
Prime factors of 68637 are 3, 137, 167. Prime factorization of 68637 in exponential form is:
68637 = 31 × 1371 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 68618 and 68637.
LCM(68618,68637) = 21 × 111 × 31191 × 31 × 1371 × 1671
LCM(68618,68637) = 4709733666
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