What is the Least Common Multiple of 71076 and 71095?
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 71076 and 71095 is 5053148220.
LCM(71076,71095) = 5053148220
Least Common Multiple of 71076 and 71095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71076 and 71095, than apply into the LCM equation.
GCF(71076,71095) = 1
LCM(71076,71095) = ( 71076 × 71095) / 1
LCM(71076,71095) = 5053148220 / 1
LCM(71076,71095) = 5053148220
Least Common Multiple (LCM) of 71076 and 71095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71076 and 71095. First we will calculate the prime factors of 71076 and 71095.
Prime Factorization of 71076
Prime factors of 71076 are 2, 3, 5923. Prime factorization of 71076 in exponential form is:
71076 = 22 × 31 × 59231
Prime Factorization of 71095
Prime factors of 71095 are 5, 59, 241. Prime factorization of 71095 in exponential form is:
71095 = 51 × 591 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 71076 and 71095.
LCM(71076,71095) = 22 × 31 × 59231 × 51 × 591 × 2411
LCM(71076,71095) = 5053148220
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