What is the Least Common Multiple of 68660 and 68668?
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 68660 and 68668 is 1178686220.
LCM(68660,68668) = 1178686220
Least Common Multiple of 68660 and 68668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68660 and 68668, than apply into the LCM equation.
GCF(68660,68668) = 4
LCM(68660,68668) = ( 68660 × 68668) / 4
LCM(68660,68668) = 4714744880 / 4
LCM(68660,68668) = 1178686220
Least Common Multiple (LCM) of 68660 and 68668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68660 and 68668. First we will calculate the prime factors of 68660 and 68668.
Prime Factorization of 68660
Prime factors of 68660 are 2, 5, 3433. Prime factorization of 68660 in exponential form is:
68660 = 22 × 51 × 34331
Prime Factorization of 68668
Prime factors of 68668 are 2, 17167. Prime factorization of 68668 in exponential form is:
68668 = 22 × 171671
Now multiplying the highest exponent prime factors to calculate the LCM of 68660 and 68668.
LCM(68660,68668) = 22 × 51 × 34331 × 171671
LCM(68660,68668) = 1178686220
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