What is the Least Common Multiple of 71934 and 71953?
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 71934 and 71953 is 272414058.
LCM(71934,71953) = 272414058
Least Common Multiple of 71934 and 71953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71934 and 71953, than apply into the LCM equation.
GCF(71934,71953) = 19
LCM(71934,71953) = ( 71934 × 71953) / 19
LCM(71934,71953) = 5175867102 / 19
LCM(71934,71953) = 272414058
Least Common Multiple (LCM) of 71934 and 71953 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71934 and 71953. First we will calculate the prime factors of 71934 and 71953.
Prime Factorization of 71934
Prime factors of 71934 are 2, 3, 19, 631. Prime factorization of 71934 in exponential form is:
71934 = 21 × 31 × 191 × 6311
Prime Factorization of 71953
Prime factors of 71953 are 7, 19, 541. Prime factorization of 71953 in exponential form is:
71953 = 71 × 191 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 71934 and 71953.
LCM(71934,71953) = 21 × 31 × 191 × 6311 × 71 × 5411
LCM(71934,71953) = 272414058
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