What is the Least Common Multiple of 51629 and 51642?
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 51629 and 51642 is 2666224818.
LCM(51629,51642) = 2666224818
Least Common Multiple of 51629 and 51642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51629 and 51642, than apply into the LCM equation.
GCF(51629,51642) = 1
LCM(51629,51642) = ( 51629 × 51642) / 1
LCM(51629,51642) = 2666224818 / 1
LCM(51629,51642) = 2666224818
Least Common Multiple (LCM) of 51629 and 51642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51629 and 51642. First we will calculate the prime factors of 51629 and 51642.
Prime Factorization of 51629
Prime factors of 51629 are 17, 3037. Prime factorization of 51629 in exponential form is:
51629 = 171 × 30371
Prime Factorization of 51642
Prime factors of 51642 are 2, 3, 19, 151. Prime factorization of 51642 in exponential form is:
51642 = 21 × 32 × 191 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 51629 and 51642.
LCM(51629,51642) = 171 × 30371 × 21 × 32 × 191 × 1511
LCM(51629,51642) = 2666224818
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