What is the Least Common Multiple of 68901 and 68920?
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 68901 and 68920 is 4748656920.
LCM(68901,68920) = 4748656920
Least Common Multiple of 68901 and 68920 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68901 and 68920, than apply into the LCM equation.
GCF(68901,68920) = 1
LCM(68901,68920) = ( 68901 × 68920) / 1
LCM(68901,68920) = 4748656920 / 1
LCM(68901,68920) = 4748656920
Least Common Multiple (LCM) of 68901 and 68920 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68901 and 68920. First we will calculate the prime factors of 68901 and 68920.
Prime Factorization of 68901
Prime factors of 68901 are 3, 7, 17, 193. Prime factorization of 68901 in exponential form is:
68901 = 31 × 71 × 171 × 1931
Prime Factorization of 68920
Prime factors of 68920 are 2, 5, 1723. Prime factorization of 68920 in exponential form is:
68920 = 23 × 51 × 17231
Now multiplying the highest exponent prime factors to calculate the LCM of 68901 and 68920.
LCM(68901,68920) = 31 × 71 × 171 × 1931 × 23 × 51 × 17231
LCM(68901,68920) = 4748656920
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