What is the Least Common Multiple of 31953 and 31972?
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 31953 and 31972 is 1021601316.
LCM(31953,31972) = 1021601316
Least Common Multiple of 31953 and 31972 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31953 and 31972, than apply into the LCM equation.
GCF(31953,31972) = 1
LCM(31953,31972) = ( 31953 × 31972) / 1
LCM(31953,31972) = 1021601316 / 1
LCM(31953,31972) = 1021601316
Least Common Multiple (LCM) of 31953 and 31972 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31953 and 31972. First we will calculate the prime factors of 31953 and 31972.
Prime Factorization of 31953
Prime factors of 31953 are 3, 10651. Prime factorization of 31953 in exponential form is:
31953 = 31 × 106511
Prime Factorization of 31972
Prime factors of 31972 are 2, 7993. Prime factorization of 31972 in exponential form is:
31972 = 22 × 79931
Now multiplying the highest exponent prime factors to calculate the LCM of 31953 and 31972.
LCM(31953,31972) = 31 × 106511 × 22 × 79931
LCM(31953,31972) = 1021601316
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