What is the Least Common Multiple of 84798 and 84802?
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 84798 and 84802 is 3595519998.
LCM(84798,84802) = 3595519998
Least Common Multiple of 84798 and 84802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84798 and 84802, than apply into the LCM equation.
GCF(84798,84802) = 2
LCM(84798,84802) = ( 84798 × 84802) / 2
LCM(84798,84802) = 7191039996 / 2
LCM(84798,84802) = 3595519998
Least Common Multiple (LCM) of 84798 and 84802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84798 and 84802. First we will calculate the prime factors of 84798 and 84802.
Prime Factorization of 84798
Prime factors of 84798 are 2, 3, 7, 673. Prime factorization of 84798 in exponential form is:
84798 = 21 × 32 × 71 × 6731
Prime Factorization of 84802
Prime factors of 84802 are 2, 109, 389. Prime factorization of 84802 in exponential form is:
84802 = 21 × 1091 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 84798 and 84802.
LCM(84798,84802) = 21 × 32 × 71 × 6731 × 1091 × 3891
LCM(84798,84802) = 3595519998
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