What is the Least Common Multiple of 52076 and 52095?
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 52076 and 52095 is 2712899220.
LCM(52076,52095) = 2712899220
Least Common Multiple of 52076 and 52095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52076 and 52095, than apply into the LCM equation.
GCF(52076,52095) = 1
LCM(52076,52095) = ( 52076 × 52095) / 1
LCM(52076,52095) = 2712899220 / 1
LCM(52076,52095) = 2712899220
Least Common Multiple (LCM) of 52076 and 52095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52076 and 52095. First we will calculate the prime factors of 52076 and 52095.
Prime Factorization of 52076
Prime factors of 52076 are 2, 47, 277. Prime factorization of 52076 in exponential form is:
52076 = 22 × 471 × 2771
Prime Factorization of 52095
Prime factors of 52095 are 3, 5, 23, 151. Prime factorization of 52095 in exponential form is:
52095 = 31 × 51 × 231 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 52076 and 52095.
LCM(52076,52095) = 22 × 471 × 2771 × 31 × 51 × 231 × 1511
LCM(52076,52095) = 2712899220
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