What is the Least Common Multiple of 20963 and 20972?
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 20963 and 20972 is 439636036.
LCM(20963,20972) = 439636036
Least Common Multiple of 20963 and 20972 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20963 and 20972, than apply into the LCM equation.
GCF(20963,20972) = 1
LCM(20963,20972) = ( 20963 × 20972) / 1
LCM(20963,20972) = 439636036 / 1
LCM(20963,20972) = 439636036
Least Common Multiple (LCM) of 20963 and 20972 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20963 and 20972. First we will calculate the prime factors of 20963 and 20972.
Prime Factorization of 20963
Prime factors of 20963 are 20963. Prime factorization of 20963 in exponential form is:
20963 = 209631
Prime Factorization of 20972
Prime factors of 20972 are 2, 7, 107. Prime factorization of 20972 in exponential form is:
20972 = 22 × 72 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 20963 and 20972.
LCM(20963,20972) = 209631 × 22 × 72 × 1071
LCM(20963,20972) = 439636036
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