What is the Least Common Multiple of 16712 and 16722?
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 16712 and 16722 is 139729032.
LCM(16712,16722) = 139729032
Least Common Multiple of 16712 and 16722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16712 and 16722, than apply into the LCM equation.
GCF(16712,16722) = 2
LCM(16712,16722) = ( 16712 × 16722) / 2
LCM(16712,16722) = 279458064 / 2
LCM(16712,16722) = 139729032
Least Common Multiple (LCM) of 16712 and 16722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16712 and 16722. First we will calculate the prime factors of 16712 and 16722.
Prime Factorization of 16712
Prime factors of 16712 are 2, 2089. Prime factorization of 16712 in exponential form is:
16712 = 23 × 20891
Prime Factorization of 16722
Prime factors of 16722 are 2, 3, 929. Prime factorization of 16722 in exponential form is:
16722 = 21 × 32 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 16712 and 16722.
LCM(16712,16722) = 23 × 20891 × 32 × 9291
LCM(16712,16722) = 139729032
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