What is the Least Common Multiple of 957 and 968?
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 957 and 968 is 84216.
LCM(957,968) = 84216
Least Common Multiple of 957 and 968 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 957 and 968, than apply into the LCM equation.
GCF(957,968) = 11
LCM(957,968) = ( 957 × 968) / 11
LCM(957,968) = 926376 / 11
LCM(957,968) = 84216
Least Common Multiple (LCM) of 957 and 968 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 968. First we will calculate the prime factors of 957 and 968.
Prime Factorization of 957
Prime factors of 957 are 3, 11, 29. Prime factorization of 957 in exponential form is:
957 = 31 × 111 × 291
Prime Factorization of 968
Prime factors of 968 are 2, 11. Prime factorization of 968 in exponential form is:
968 = 23 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 968.
LCM(957,968) = 31 × 112 × 291 × 23
LCM(957,968) = 84216
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