What is the Least Common Multiple of 71236 and 71253?
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 71236 and 71253 is 5075778708.
LCM(71236,71253) = 5075778708
Least Common Multiple of 71236 and 71253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71236 and 71253, than apply into the LCM equation.
GCF(71236,71253) = 1
LCM(71236,71253) = ( 71236 × 71253) / 1
LCM(71236,71253) = 5075778708 / 1
LCM(71236,71253) = 5075778708
Least Common Multiple (LCM) of 71236 and 71253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71236 and 71253. First we will calculate the prime factors of 71236 and 71253.
Prime Factorization of 71236
Prime factors of 71236 are 2, 11, 1619. Prime factorization of 71236 in exponential form is:
71236 = 22 × 111 × 16191
Prime Factorization of 71253
Prime factors of 71253 are 3, 7, 13, 29. Prime factorization of 71253 in exponential form is:
71253 = 33 × 71 × 131 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 71236 and 71253.
LCM(71236,71253) = 22 × 111 × 16191 × 33 × 71 × 131 × 291
LCM(71236,71253) = 5075778708
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