What is the Least Common Multiple of 51697 and 51708?
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 51697 and 51708 is 2673148476.
LCM(51697,51708) = 2673148476
Least Common Multiple of 51697 and 51708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51697 and 51708, than apply into the LCM equation.
GCF(51697,51708) = 1
LCM(51697,51708) = ( 51697 × 51708) / 1
LCM(51697,51708) = 2673148476 / 1
LCM(51697,51708) = 2673148476
Least Common Multiple (LCM) of 51697 and 51708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51697 and 51708. First we will calculate the prime factors of 51697 and 51708.
Prime Factorization of 51697
Prime factors of 51697 are 17, 3041. Prime factorization of 51697 in exponential form is:
51697 = 171 × 30411
Prime Factorization of 51708
Prime factors of 51708 are 2, 3, 31, 139. Prime factorization of 51708 in exponential form is:
51708 = 22 × 31 × 311 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 51697 and 51708.
LCM(51697,51708) = 171 × 30411 × 22 × 31 × 311 × 1391
LCM(51697,51708) = 2673148476
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