What is the Least Common Multiple of 84618 and 84637?
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 84618 and 84637 is 7161813666.
LCM(84618,84637) = 7161813666
Least Common Multiple of 84618 and 84637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84618 and 84637, than apply into the LCM equation.
GCF(84618,84637) = 1
LCM(84618,84637) = ( 84618 × 84637) / 1
LCM(84618,84637) = 7161813666 / 1
LCM(84618,84637) = 7161813666
Least Common Multiple (LCM) of 84618 and 84637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84618 and 84637. First we will calculate the prime factors of 84618 and 84637.
Prime Factorization of 84618
Prime factors of 84618 are 2, 3, 1567. Prime factorization of 84618 in exponential form is:
84618 = 21 × 33 × 15671
Prime Factorization of 84637
Prime factors of 84637 are 7, 107, 113. Prime factorization of 84637 in exponential form is:
84637 = 71 × 1071 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 84618 and 84637.
LCM(84618,84637) = 21 × 33 × 15671 × 71 × 1071 × 1131
LCM(84618,84637) = 7161813666
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