GCF and LCM Calculator Logo

What is the Least Common Multiple of 142 and 152?

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 142 and 152 is 10792.

LCM(142,152) = 10792

LCM Calculator and
and

Least Common Multiple of 142 and 152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 142 and 152, than apply into the LCM equation.

GCF(142,152) = 2
LCM(142,152) = ( 142 × 152) / 2
LCM(142,152) = 21584 / 2
LCM(142,152) = 10792

Least Common Multiple (LCM) of 142 and 152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 152. First we will calculate the prime factors of 142 and 152.

Prime Factorization of 142

Prime factors of 142 are 2, 71. Prime factorization of 142 in exponential form is:

142 = 21 × 711

Prime Factorization of 152

Prime factors of 152 are 2, 19. Prime factorization of 152 in exponential form is:

152 = 23 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 142 and 152.

LCM(142,152) = 23 × 711 × 191
LCM(142,152) = 10792