What is the Least Common Multiple of 68698 and 68707?
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 68698 and 68707 is 4720033486.
LCM(68698,68707) = 4720033486
Least Common Multiple of 68698 and 68707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68698 and 68707, than apply into the LCM equation.
GCF(68698,68707) = 1
LCM(68698,68707) = ( 68698 × 68707) / 1
LCM(68698,68707) = 4720033486 / 1
LCM(68698,68707) = 4720033486
Least Common Multiple (LCM) of 68698 and 68707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68698 and 68707. First we will calculate the prime factors of 68698 and 68707.
Prime Factorization of 68698
Prime factors of 68698 are 2, 7, 701. Prime factorization of 68698 in exponential form is:
68698 = 21 × 72 × 7011
Prime Factorization of 68707
Prime factors of 68707 are 127, 541. Prime factorization of 68707 in exponential form is:
68707 = 1271 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 68698 and 68707.
LCM(68698,68707) = 21 × 72 × 7011 × 1271 × 5411
LCM(68698,68707) = 4720033486
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