What is the Least Common Multiple of 71534 and 71542?
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 71534 and 71542 is 2558842714.
LCM(71534,71542) = 2558842714
Least Common Multiple of 71534 and 71542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71534 and 71542, than apply into the LCM equation.
GCF(71534,71542) = 2
LCM(71534,71542) = ( 71534 × 71542) / 2
LCM(71534,71542) = 5117685428 / 2
LCM(71534,71542) = 2558842714
Least Common Multiple (LCM) of 71534 and 71542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71534 and 71542. First we will calculate the prime factors of 71534 and 71542.
Prime Factorization of 71534
Prime factors of 71534 are 2, 47, 761. Prime factorization of 71534 in exponential form is:
71534 = 21 × 471 × 7611
Prime Factorization of 71542
Prime factors of 71542 are 2, 35771. Prime factorization of 71542 in exponential form is:
71542 = 21 × 357711
Now multiplying the highest exponent prime factors to calculate the LCM of 71534 and 71542.
LCM(71534,71542) = 21 × 471 × 7611 × 357711
LCM(71534,71542) = 2558842714
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