What is the Least Common Multiple of 68213 and 68224?
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 68213 and 68224 is 4653763712.
LCM(68213,68224) = 4653763712
Least Common Multiple of 68213 and 68224 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68213 and 68224, than apply into the LCM equation.
GCF(68213,68224) = 1
LCM(68213,68224) = ( 68213 × 68224) / 1
LCM(68213,68224) = 4653763712 / 1
LCM(68213,68224) = 4653763712
Least Common Multiple (LCM) of 68213 and 68224 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68213 and 68224. First we will calculate the prime factors of 68213 and 68224.
Prime Factorization of 68213
Prime factors of 68213 are 68213. Prime factorization of 68213 in exponential form is:
68213 = 682131
Prime Factorization of 68224
Prime factors of 68224 are 2, 13, 41. Prime factorization of 68224 in exponential form is:
68224 = 27 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 68213 and 68224.
LCM(68213,68224) = 682131 × 27 × 131 × 411
LCM(68213,68224) = 4653763712
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